Exam 4: Solving for the Unknown

A furniture company produces 4 times as many beds on shift 2 as on shift 1. If a total of 1,000 beds were produced, how many were produced on each shift?

A local Walmart sells sweatpants ($7) and jackets ($14). If total sales were $6,160 and customers bought 8 times as many sweatpants as jackets, what would be the number of jackets sold?

A + 20 = 55

A furniture company produced 5 times as many beds on shift 2 as it did on shift 2. If a total of 240 beds were produced, how many were produced on each shift? A. ____________ Shift 1 B. ____________ Shift 2

When an equation uses addition, the variable can be solved by the opposite process: subtraction.

10 (C - 7) = 30

JCP sold a pair of pants that was reduced by $12.00. The selling price was $48.00. What was the original price?

An equation represents a math expression of equality.

The cost of oil is 6 times the cost of wood. The total bill for oil and wood is $700. What was the expense for each?

Jane sells 8 times as many Volvos as Melissa. If the difference in their sales is 35, how many cars did Jane sell?

4C stands for twice Cathy's age.

Lane is 10 times Mel's age. If the difference in their age is 27, how old is Mel?

1,080 = B + 30

There is only one set way to solve all word problems.

1/9 of all sales were for cash. If cash sales were $59,000, what were the total sales?

Whatever you do to one side of an equation, you must do to the other.

Wrenches cost $50 per carton, and hammers cost $150 per carton. If an order comes in for a total of 60 cartons for $5,000, what was the number of cartons of wrenches as well as hammers? (Hint: Let cartons of hammers = H.)

B + 8 = 9; B = 17.

2,015 = Q + 90

Joe Berry and Jane Rose received a total of $180,000 from a deceased relative's estate. They decided to put away $80,000 in a trust for their child and divide the remainder into 3/4 for Jane and 1/4 for Joe. How much will Jane receive?