Exam 5: Using Equations to Solve Business Problems

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Solomon's Shoe Store sells women's shoes for $54 a pair and men's shoes for $85 a pair. Last week the store sold four times as many women's shoes as men's. Total sales were $6,321. A)How many pairs of women's shoes were sold? B)What was the total price of the men's shoe sales?

(Short Answer)
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Employees at Standard Storage are in the ratio of 2 women to 7 men. If there are 490 men employed, how many women are employed there?

(Multiple Choice)
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Kate and Allie sell stereos. Last month Kate sold 14 more stereos than Allie. Together they sold 92. How many stereos did Allie sell?

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A plumbing supply store sells four times as many gas stoves as wood burning stoves. If sales for the month of both types totaled 65 stoves, how many gas stoves were sold?

(Short Answer)
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Underline the key word(s) and translate into an equation: the cost of A at $12.50 each is $225.00

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For the equation ​ J + 8 = 12 ​ J = 20​

(True/False)
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A number increased by 49 would be written as ​ N×49N \times 49

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Translate into an equation: A number divided by 212 equals 53 (let the number be represented by N).

(Multiple Choice)
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If Samantha earns $225.00 for 6.25 hours of work, how many must he work to earn $918.00?

(Multiple Choice)
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Underline the key word(s) and translate into an equation: a number totals 8 times the sum of R and S

(Short Answer)
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Underline the key word(s) and translate into an expression: 6 times A divided by C

(Essay)
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Luis and Berto sell TVs. Last month Berto sold 15 more TVs than Luis. Together they sold 163. How many TVs did Luis sell?

(Multiple Choice)
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Underline the key word(s) and translate into an expression: the sum of twice B and 8

(Short Answer)
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Underline the key word(s) and translate into an expression: R times S times 192

(Short Answer)
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Solve the equation: 5x + 5 + 7x = 47 + 5x

(Multiple Choice)
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Translate into an equation: A number divided by 47 equals 55 (let the number be represented by K).

(Multiple Choice)
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At the Da Vinci Institute, the ratio of girls to boys is 6 to 4. If 420 boys attend the school, how many are girls?

(Short Answer)
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The formula for writing 3 is to 4 as a number is to 100 is ​ 34=x100\frac { 3 } { 4 } = \frac { x } { 100 } ​ 4x = 300 ​ x = 75

(True/False)
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Translate into an equation: A number increased by 19 equals 77 (let the number be represented by k).

(Multiple Choice)
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If a car can travel 504 miles on 21 gallons of fuel, how many gallons are required to travel 1,152 miles?

(Multiple Choice)
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