Deck 4: Systems of Linear Equations and Inequalities

Question 1

Solve the system by graphing.
3x + 3y = 27 2x - 2y = -2

A) $x = 5 , y = 4$
B) $x = 3 , y = - 8$
C) $x = 4 , y = 5$
D) no solution

Answer 1

C

Question 2

Use the substitution method to solve the system.
x + 6y = 6 4x - 5y = -5

A)(1, 1)
B)(0, 1)
C)(0, 0)
D)(1, 0)

Answer 2

B

Question 3

Use the substitution method to solve the system.
6x + 5y = -12 -4x - 2y = 0

A)(3, -5)
B)(3, -6)
C)(2, -5)
D)No solution

Answer 3

B

Question 4

Use the substitution method to solve the system.
x + 7y = 4 6x + 8y = 24

A)(5, 4)
B)(4, 0)
C)(-4, -1)
D)No solution

Question 5

Solve the system by graphing.
x = -y y + x = 6

A) no solution
B) infinite number of solutions
C) $x = 1 , y = 5$
D) $x = 1 , y = 1$

Question 6

Determine whether the given ordered pair is a solution to the system of equations.
$$\begin{array} { l } \left( - \frac { 5 } { 2 } , - 3 \right) \\4 x + 4 = - 9 - y \\- 4 x - 4 y = 22\end{array}$$

A) $\mathrm { No }$
B) $Y e s$

Question 7

Determine whether the given ordered pair is a solution to the system of equations.
(-6, -4) 4x + y = -20
2x + 4y = 4

A)No
B)Yes

Question 8

Use the substitution method to solve the system.
8x + 7y = -8 2x + 3y = -2

A)(-1, 0)
B)(-1, 1)
C)(-2, 1)
D)No solution

Question 9

Determine whether the given ordered pair is a solution to the system of equations.
(-4, -5) 4x + y = -21
3x + 4y = -32

A)No
B)Yes

Question 10

Solve the system by graphing.
3x - 2y = 4 -6x + 4y = 7

A) $x = 2 , y = 1$
B) no solution
C) infinite number of solutions
D) $x = 1 , y = 2$

Question 11

Solve the system by graphing.
y - 3x = 4 2y = 6x + 8

A) no solution
B) $x = 1 , y = 1$
C) infinite number of solutions
D) $x = - 1.5 , y = - 1$

Question 12

Solve the system by graphing.
$$\begin{array} { l } \frac { 3 } { 2 } x - \frac { 1 } { 3 } y = 5 \\\frac { 5 } { 2 } x + \frac { 2 } { 3 } y = 12\end{array}$$

A) $x = 4 , y = - 3$
B) $x = 4 , y = 3$
C) $x = 3 , y = 4$
D) $x = 3 , y = 1$

Question 13

Solve the system by graphing.
3x + y = 12 9x + 3y = 36

A) infinite number of solutions
B) no solution
C) $x = 5 , y = - 3$
D) $x = 0 , y = 12$

Question 14

Use the substitution method to solve the system.
8x + y = 0 -8x + y = -16

A)(-1, -8)
B)(1, -8)
C)(1, 16)
D)(-1, 8)

Question 15

Determine whether the given ordered pair is a solution to the system of equations.
(5, 6) 2x = -4 - y
3x = -3 - 2y

A)Yes
B)No

Question 16

Use the substitution method to solve the system.
x - 7y = 36 5x - 8y = 45

A)(1, -5)
B)(-1, -4)
C)(0, -4)
D)No solution

Question 17

Solve the system by graphing.
$\begin{array}{l}7 x+y=18 \\7 x+y=25\end{array}$

A) infinite number of solutions
B) $x = 14 , y = 4$
C) $x = 12 , y = 11$
D) no solution

Question 18

Determine whether the given ordered pair is a solution to the system of equations.
$$\begin{array} { l } \left( - \frac { 3 } { 2 } , - 3 \right) \\6 x + 2 = - 10 - y \\2 x + 2 y = - 7\end{array}$$

A) No
B) Yes

Question 19

Solve the system by graphing.
2x + y = -3 2x + 2y = 2

A) $x = , y = - 5$
B) $x = - 4 , y = 5$
C) $x = 4 , y = 5$
D) $x = - 4 , y = - 5$

Question 20

Use the substitution method to solve the system.
x - 4y = 8 -3x - 3y = 6

A)(2, 0)
B)(0, -2)
C)(1, -3)
D)No solution

Question 21

Use the substitution method to solve the system.
$$\begin{array} { l } 9 x + y = 7 \\- 9 x + 5 y = - 1\end{array}$$

A) $\left( \frac { 5 } { 3 } , - 8 \right)$
B) $( 1 , - 5 )$
C) $\left[ \frac { 2 } { 3 } , 1 \right]$
D) $\left( 5 , \frac { 4 } { 5 } \right)$

Question 22

Use the substitution method to solve the system.
$$\begin{array} { l } \frac { 3 } { 5 } x + \frac { 2 } { 3 } y = - 13 \\- \frac { 3 } { 5 } x + 3 y = 24\end{array}$$

A) $( - 25,4 )$
В) $( - 15 , - 11 )$
C) $( - 15 , - 6 )$
D) $( - 25,3 )$

Question 23

If possible, solve the system of equations. Use any method. If there is not a unique solution to a system, say why.
$$\begin{array} { l } 7 x - 5 y = 4 \\- 14 x + 10 y = - 16\end{array}$$

A) $( 2,4 )$
B) No solution; inconsistent system of equations
C) Infinite number of solutions; dependent equations
D) $\left( \frac { 7 } { 12 } , - \frac { 5 } { 12 } \right)$

Question 24

If possible, solve the system of equations. Use any method. If there is not a unique solution to a system, say why.
$$\begin{array} { l } 4 x + \frac { 5 } { 2 } y = 30 \\3 x + \frac { 1 } { 2 } y = 17\end{array}$$

A) No solution; inconsistent system of equations
B) $($ ,)
C) $( - 5,3 )$
D) \((\,)

Question 25

If possible, solve the system of equations. Use any method. If there is not a unique solution to a system, say why.
4x = 45 - 9y -2x + 7y = -11

A)(8, 2)
B)No solution; inconsistent system of equations
C)(9, 1)
D)(9, 2)

Question 26

Find the solution to the system by addition (elimination) method.
5x + 54y = 54 3x - 6y = -6

A)(1, 1)
B)(0, 1)
C)(0, 0)
D)(1, 0)

Question 27

Choose the most appropriate method for solving the system of equations. Do not solve.
x + y = 3050 4x + 5y = 8170

A)Addition
B)Substitution

Question 28

If possible, solve the system of equations. Use any method. If there is not a unique solution to a system, say why.
-8x + 6y = -80 -3x - 9y = 60

A)(4, -8)
B)(-4, -7)
C)(3, -7)
D)No solution; inconsistent system of equations

Question 29

Solve.
A couple have bought a new house and are comparing quotes from two moving companies for moving their furniture. Company A charges $\$ 110$ for the truck and $\$ 60$ per hour for the movers. Company B charges $\$ 90$ for the truck and $\$ 75$ per hour for the movers. Create a cost equation for each company where $y$ is the total cost and $x$ is the number of hours of labor. Write a system of equations.

A) $60 y = x + 110$
$75 y = x + 90$
B) $60 \mathrm { y } = 110 \mathrm { x }$
$75 \mathrm { y } = 90 \mathrm { x }$
C) $y = 110 x + 60$
$y = 90 x + 75$
D) $y = 60 x + 110$
$y = 75 x + 90$

Question 30

Find the solution to the system by addition (elimination) method.
$$\begin{array} { l } 2 x + 2 y = 32 \\2 x - \frac { 1 } { 3 } y = 11\end{array}$$

A) $($ , )
B) $($ , )
C) $( - 7,8 )$
D) No solution

Question 31

Find the solution to the system by addition (elimination) method.
x + y = -6 x - y = 14

A)(6, 4)
B)(4, 10)
C)(4, -10)
D)(6, -10)

Question 32

If possible, solve the system of equations. Use any method. If there is not a unique solution to a system, say why.
$$\begin{array} { l } 5 x + 4 y = 6 \\8 y = 12 - 10 x\end{array}$$

A) No solution; inconsistent system of equations
B) Infinite number of solutions; dependent equations
C) $( 0,0 )$
D) $( , \quad )$

Question 33

Choose the most appropriate method for solving the system of equations. Do not solve.
2x - 3y = 19 -5x + 7y = 28

A)Addition
B)Substitution

Question 34

Solve.
Juanita is having her yard landscaped. She obtained an estimate from two landscaping companies. Company A gave an estimate of $180 for materials and equipment rental plus $60 per hour for labor. Company B gave and
Estimate of $300 for materials and equipment rental plus $45 per hour for labor. Create a cost equation for each
Company where y is the total cost of the landscaping and x is the number of hours of labor. Determine how
Many hours of labor will be required for the two companies to cost the same.

A)7 hours
B)11 hours
C)8 hours
D)12 hours

Question 35

Find the solution to the system by addition (elimination) method.
6x + 5y = -19 -6x - 11y = 49

A)(6, 5)
B)(1, -5)
C)(-1, 5)
D)(-6, - 5)

Question 36

If possible, solve the system of equations. Use any method. If there is not a unique solution to a system, say why.
$$\frac { 1 } { 2 } x + \frac { 1 } { 2 } y = 1$$
$x - y = - 8$
B) $( 3,6 )$

A) $( - 4$ , )
D) No solution; inconsistent system of equations

Question 37

Find the solution to the system by addition (elimination) method.
2x + 8y = -6 2x + 2y = 24

A)(-17, 8)
B)(-17, 2)
C)(-5, 17)
D)(17, -5)

Question 38

Find the solution to the system by addition (elimination) method.
$$\frac { 1 } { 3 } x + \frac { 1 } { 3 } y = - 4$$
$x - y = - 2$

A) $( - 7 , - 5 )$
B) $( 7 , - 4 )$
C) $( - 8 , - 4 )$
D) No solution

Question 39

If possible, solve the system of equations. Use any method. If there is not a unique solution to a system, say why.
$$\begin{array} { l } \frac { 1 } { 4 } x + \frac { 1 } { 4 } y = 1 \\\frac { 1 } { 2 } x - \frac { 1 } { 2 } y = - 1\end{array}$$

A) $($ \quad )\)
B) $($ ,\quad )\)
C) No solution; inconsistent system of equations
D) $( - 1,4 )$

Question 40

If possible, solve the system of equations. Use any method. If there is not a unique solution to a system, say why.
$$\begin{array} { l } 9 x - 6 y = 3 \\27 x - 18 y = 15\end{array}$$

A) $\left( \frac { 1 } { 2 } , - \frac { 3 } { 4 } \right)$
B) $( 3,15 )$
C) Infinite number of solutions; dependent equations
D) No solution; inconsistent system of equations

Question 41

Find the solution to the system by addition (elimination) method.
$$\begin{array} { l } \frac { 1 } { 2 } x + \frac { 1 } { 2 } y = 1 \\\frac { 1 } { 5 } x - \frac { 1 } { 5 } y = \frac { 6 } { 5 }\end{array}$$

A) $( 3 , - 1 )$
B) $( 4 , - 2 )$
C) $( - 4 , - 1 )$
D) No solution

Question 42

Find the solution to the system by addition (elimination) method.
2x + 10y = -56 9x + 2y = 49

A)(9, -9)
B)(7, -7)
C)(-7, 7)
D)(-2, 7)

Question 43

Solve.
$$\begin{array} { l } 5 x + 2 y + z = - 11 \\2 x - 3 y - z = 17 \\7 x + y + 2 z = - 4\end{array}$$

A) $( 3,0 , - 4 )$
B) $( 0 , - 6,1 )$
C) $( 0,6 , - 1 )$
D) $( - 3,0,4 )$

Question 44

Solve.
$$\begin{array} { l } x - y + z = - 8 \\x + y + z = 0 \\x + y - z = 2 \\( - 1 , - 3,4 )\end{array}$$

A) Yes
B) No

Question 45

Solve.
$$\begin{array} { c } 7 x + 7 y + z = 1 \\x + 8 y + 8 z = 8 \\9 x + y + 9 z = 9\end{array}$$

A) $( 0,1,0 )$
B) $( 1 , - 1,1 )$
C) $( - 1,1,1 )$
D) $( 0,0,1 )$

Question 46

Solve.
$$\begin{array} { c } x - y + 3 z = 6 \\5 x + z = 1 \\x + 2 y + z = - 5 \\( 0 , - 3,1 )\end{array}$$

A) $\mathrm { No }$
B) Yes

Question 47

Solve.
$\begin{aligned} x + 5 y + 3 z & = - 22 \\ 5 y + 4 z & = - 30 \\ z & = - 5 \\ ( 3 , - 2 , - 5 ) \end{aligned}$

A) Yes
B) No

Question 48

Solve.
$$\begin{array} { l } x + y + z = - 2 \\x - y + 5 z = - 26 \\4 x + y + z = 1 \\1,2 , - 5 )\end{array}$$

A) $\mathrm { No }$
B) Yes

Question 49

Solve.
$$\begin{array} { c } x - y + 3 z = 10 \\3 x + z = 3 \\x + 3 y + z = 0 \\( 3 , - 1,0 )\end{array}$$

A) Yes
B) $\mathrm { No }$

Question 50

Solve.
x + y + z = 1 x - y + 2z = 8
2x + y + z = -2
(5, -1, -3)

A)Yes
B)No

Question 51

Solve.
$$\begin{array} { l } 3 x + 2 y + z = 17 \\4 x - 5 y - z = 2 \\3 x + y + 3 z = 12 \\( - 1,3,4 )\end{array}$$

A) No
B) Yes

Question 52

Solve.
$$\begin{array} { l } \frac { 4 } { 3 } x + 5 y - 2 z = 20 \\3 x - \frac { 2 } { 3 } y + z = - 21 \\x - 3 y + 2 z = - 22\end{array}$$

A) $( - 6,3,2 )$
В) $( - 3,3,1 )$
C) $( - 6,6,1 )$
D) $( - 3,6,2 )$

Question 53

Find the solution to the system of equations. Round the answer to five decimal places
$$\begin{array}{l}x 3 y - 3 z = - 0.41252\\- x - 3 y + z = - 3.55946\\5 x + y - z = 8.177\\\text { A) } x = 1.78168 , y = 1.455 , z = 1.67579\\\text { B) } x = 1.78168 , y = 1.25459 , z = 1.98599\\\text { C) } x = 0.76138 , \mathrm { y } = 1.455 , \mathrm { z } = 1.98599\\\text { D) } x = 0.76138 , y = 1.25459 , z = 1.67579\end{array}$$

Question 54

Solve.
$$\begin{aligned}x + 3 y + 2 z & = 23 \\2 y + 3 z & = 23 \\z & = 5\end{aligned}$$
$( 5,4,1 )$

A) No
B) Yes

Question 55

Solve the system of equations.
$$\begin{aligned}x + 4 y + 2 z & = - 4 \\3 y + 3 z & = - 3 \\z & = 1\end{aligned}$$

A) $( 1 , - 2,2 )$
B) $( , , - 2 )$
C) $( - 2,2,1 )$
D) $( , - 2 , \quad )$

Question 56

Solve.
$$\begin{array} { l } 5 x + 5 y + z = 31 \\5 x - 5 y - z = - 11 \\2 x + y + 3 z = - 3 \\( 2,5 , - 4 )\end{array}$$

A) Yes
B) $\mathrm { No }$

Question 57

Solve the system of equations.
$$\begin{aligned}x - y + 5 z & = - 2 \\2 x + z & = 0 \\x + 3 y + z & = 6\end{aligned}$$

A) $( 0,2 , - 2 )$
B) $( 0,0,2 )$
C) $( 0,2,0 )$
D) $( , 0,0 )$

Question 58

Solve.
$$\begin{array} { l } x - y + z = 8 \\x + y + z = 6 \\x + y - z = - 12\end{array}$$

A) $( 2 , - 1 , - 9 )$
B) $( - 2 , - 1 , - 9 )$
C) $( 2 , - 1,9 )$
D) $( - 2 , - 1,9 )$

Question 59

Solve.
$$\begin{array} { l } x - y + z = 6 \\x + y + z = 8 \\x + y - z = - 2 \\( 2,1,5 )\end{array}$$

A) $\mathrm { No }$
B) Yes

Question 60

Solve the system of equations.
$$\begin{array} { l } x - y + 3 z = - 4 \\4 x + z = - 1 \\x + 4 y + z = 3\end{array}$$

A) $( - 1,1,0 )$
B) $( 1,0 , - 1 )$
C) $( 0,1 , - 1 )$
D) $( - 1,0,1 )$

Question 61

Solve.
$$\begin{array} { l } - 0.2 x + 0.3 y - 0.1 z = - 2 \\- 0.4 x - 0.2 y + 0.2 z = - 1.110223025 e - 16 \\- 0.6 x - 0.4 y + 0.1 z = - 1.665334537 e - 16\end{array}$$

A) $( - 0.6 , - 10$ , )
В) $( - 0.8 , - 10$ ,
C) $( , - 4$ ,)
D) $( - 0.8 , - 8$ )

Question 62

Solve.
$$\begin{array} { l r } 2 x + y + 4 z = & - 9 \\- x - 4 y + 2 z = & - 4 \\- 3 x - 5 y - 2 z = 5\end{array}$$

A) No solution; inconsistent system of equations
B) Infinite number of solutions; dependent equations
C) $( 3 , - 3 , - 3 )$
D) $( 0 , - 1 , - 4 )$

Question 63

Solve.
$$\begin{array} { l } x + y + z = 7 \\x - y + 2 z = 7 \\5 x + y + z = 11\end{array}$$

A) $( 1,4,2 )$
B) $( 4,2,1 )$
C) $( 1,2,4 )$
D) $( 4,1,2 )$

Question 64

Solve the problem.
A textile company has specific dyeing and drying times for its different cloths. A roll of Cloth A requires 55 minutes of dyeing time and 45 minutes of drying time. A roll of Cloth B requires 60 minutes of dyeing time and
30 minutes of drying time. The production division allocates 2280 minutes of dyeing time and 1560 minutes of
Drying time for the week. How many rolls of each cloth can be dyed and dried?

A)13 rolls of Cloth A, 28 rolls of Cloth B
B)24 rolls of Cloth A, 16 rolls of Cloth B
C)2 rolls of Cloth A, 49 rolls of Cloth B
D)13 rolls of Cloth A, 40 rolls of Cloth B

Question 65

Solve using a system of three linear equations.
A basketball player scored 32 points in a game. The number of three-point field goals the player made was 24 less than three times the number of free throws (each worth 1 point). Twice the number of two-point field goals
The player made was 11 more than the number of three-point field goals made. Find the number of free-throws,
Two-point field goals, and three-point field goals that the player made in the game.

A)9 free throws; 7 two-point field goals; 3 three-point field goals
B)9 free throws; 3 two-point field goals; 7 three-point field goals
C)10 free throws; 7 two-point field goals; 6 three-point field goals
D)9 free throws; 8 two-point field goals; 5 three-point field goals

Question 66

Solve the system of equations.
$$\begin{array} { r l r } x - y + 5 z & = & - 4 \\3 x + z & = & 0 \\- x + y - 5 z & = & 12\end{array}$$

A) $( 0,0,4 )$
B) $( 5,4,0 )$
C) No solution
D) Infinite number of solutions; dependent equations

Question 67

Solve the problem.
A tour group split into two groups when waiting in line for food at a fast food counter. The first group bought 8 slices of pizza and 7 soft drinks for $42.00. The second group bought 7 slices of pizza and 6 soft drinks for $
36)57. How much does one slice of pizza cost?

A)$1.44 per slice of pizza
B)$1.94 per slice of pizza
C)$3.49 per slice of pizza
D)$3.99 per slice of pizza

Question 68

Solve the system of equations.
$$\begin{array} { r r } y - 4 z = & 6 \\- 4 x + y - 5 z = & 3 \\- 3 x + 4 z = & - 7\end{array}$$

A) $( , , 0 )$
В) $( , , - 1 )$
C) $( 5,33,2 )$
D) $( 5,3,2 )$

Question 69

Solve the problem.
A vendor sells hot dogs and bags of potato chips. A customer buys 4 hot dogs and 4 bags of potato chips for $7.00. Another customer buys 3 hot dogs and 4 bags of potato chips for $6.00. Find the cost of each item.

A)$0.75 for a hot dog; $1.00 for a bag of potato chips
B)$1.25 for a hot dog; $1.00 for a bag of potato chips
C)$1.00 for a hot dog; $0.75 for a bag of potato chips
D)$1.00 for a hot dog; $1.00 for a bag of potato chips

Question 70

Solve the system of equations.
$4 x + y - \frac { 3 } { 2 } z = 16$
$\frac { 1 } { 2 } \mathrm { x } - 3 \mathrm { z } = 19$
$\mathrm { x } + 4 \mathrm { y } = - 2$

A) $( - 4,0 , - 5 )$
В) $( , - 1 , - 6 )$
C) $( - 2 , - 14 , - 8 )$
D) $( - 2 , - 6 )$

Question 71

Solve the problem.
Sandy Brondello scored 24 points in a recent basketball game without making any 3-point shots. She scored 16 times, making several free throws worth 1 point each and several field goals worth two points each. How many
Free throws did she make? How many 2-point field goals did she make?

A)10 free throws, 7 field goals
B)6 free throws, 10 field goals
C)9 free throws, 7 field goals
D)8 free throws, 8 field goals

Question 72

Solve using a system of three linear equations.
A ceramics workshop makes wreaths, trees, and sleighs for sale at Christmas. A wreath takes 3 hours to prepare, 2 hours to paint, and 9 hours to fire. A tree takes 14 hours to prepare, 3 hours to paint, and 4 hours to
Fire. A sleigh takes 4 hours to prepare, 16 hours to paint, and 7 hours to fire. If the workshop has 109 hours for
Prep time, 81 hours for painting, and 122 hours for firing, How many of each can be made?

A)3 wreaths, 9 trees, 5 sleighs
B)9 wreaths, 5 trees, 3 sleighs
C)5 wreaths, 3 trees, 9 sleighs
D)10 wreaths, 6 trees, 4 sleighs

Question 73

Solve the problem.
Kelly is a partner in an Internet-based seed and garden supply business. The company offers a blend of exotic wildflower seeds for $105 per pound and a blend of common wildflower seeds for $15 per pound. Kelly is
Creating a medium-price product by mixing together 26 pounds of the more expensive blend with 10 pounds of
The less expensive blend. What will be the price per pound for the new blend? (Round to the nearest cent, if
Necessary.)

A)$12.00 per pound
B)$40.00 per pound
C)$24.00 per pound
D)$80.00 per pound

Question 74

Graph the system of inequalities.
$\begin{array}{l}y>-2 \\x \geq 1\end{array}$
A)
B)
C)
D)

Question 75

Solve the problem.
A twin-engined aircraft can fly 768 miles from city A to city B in 3 hours with the wind and make the return trip in 8 hours against the wind. What is the speed of the wind?

A)112 mph
B)96 mph
C)80 mph
D)64 mph

Question 76

Solve the problem.
Corey has found that his new car gets 34 miles per gallon on the highway and 29 miles per gallon in the city. He recently drove 286 miles on 9 gallons of gasoline. How many miles did he drive on the highway? How many
Miles did he drive in the city?

A)145 miles on the highway, 141 miles in the city
B)170 miles on the highway, 116 miles in the city
C)155 miles on the highway, 131 miles in the city
D)160 miles on the highway, 126 miles in the city

Question 77

Solve using a system of three linear equations.
A total of 384 people attend a community theatre performance. The admission prices were $10.00 for adults, $8.00 for students, and $9.00 for senior citizens. The ticket sales totaled $3590. At the theatre's next board
Meeting, the finance manager proposed that for the next play they raise prices to $11.00 for adults, $8.50 for
Students, and $9.50 for senior citizens. He said that if the exact same number of people attend the next
Performance, the ticket sales would be $3886. How many adults, students, and senior citizens attended the
Play?

A)196 adults, 78 students, 110 senior citizens
B)200 adults, 80 students, 104 senior citizens
C)204 adults, 72 students, 108 senior citizens
D)208 adults, 74 students, 102 senior citizens

Question 78

Solve using a system of three linear equations.
A real estate investor is examining a triangular plot of land. She measures each angle of the field. The sum of the first and second angles is 114° more than the measure of the third angle. If the measure of the third angle is
Subtracted from the measure of the second angle, the result is twice the measure of the first angle. Find the
Measure of each angle. (Note: The sum of the angles of a triangle is 180°.)

A)First angle is 42°, second angle is 111°, third angle is 27°
B)First angle is 38°, second angle is 109°, third angle is 33°
C)First angle is 36°, second angle is 109°, third angle is 31°
D)First angle is 44°, second angle is 105°, third angle is 31°

Question 79

Solve using a system of three linear equations.
A deli sells three sizes of roast beef sandwiches: the small roast beef sandwich contains 4 ounces of meat and sells for $3.00; the regular roast beef sandwich contains 7 ounces of meat and sells for $3.50; and the large
Roast beef sandwich contains 9 ounces of meat and sells for $4.00. A customer requests a selection of each size
For a reception. She and the manager agree on a combination of 54 sandwiches made from 20 pounds 2 ounces
Of roast beef for a total cost of $181. How many of each size sandwich will be in this combination? (Note: 1
Pound = 16 ounces)

A)20 small sandwiches, 18 medium sandwiches, 16 large sandwiches.
B)22 small sandwiches, 28 medium sandwiches, 4 large sandwiches.
C)24 small sandwiches, 22 medium sandwiches, 8 large sandwiches.
D)26 small sandwiches, 16 medium sandwiches, 12 large sandwiches.

Question 80

Solve using a system of three linear equations.
Three shrimp boats supply the shrimp wholesalers on Hilton Head with fresh catch. The Annabelle takes 50% of its catch to Hudson's, 20% to Captain J's, and 30% to Mainstreet. The Curly Q takes 40% of its catch to Hudson's,
40% to Captain J's, and 20% to Mainstreet. The SloJoe takes 30% of its catch to Hudson's, 40% to Captain J's, and
30% to Mainstreet. One week Hudson's received 240.2 pounds of shrimp, Captain J's received 203.8 pounds, and
Mainstreet received 158 pounds. How many pounds of shrimp did each boat catch?

A)Annabelle 191 lbs, Curly Q 185 lbs, SloJoe 226 lbs
B)Annabelle 191 lbs, Curly Q 226 lbs, SloJoe 185 lbs
C)Annabelle 185 lbs, Curly Q 226 lbs, SloJoe 191 lbs
D)Annabelle 226 lbs, Curly Q 191 lbs, SloJoe 185 lbs