Write an equation to determine how many pairs of shoes, p, Roger must sell in a day to meet his daily earnings goal.

Question

Roger gets $40 per day as wages and $4.50 as commission for every pair of shoes he sells in a day. His daily earnings goal is $112 

Answer 1

Let's define the following variables:

 

Daily earning goal (D): $112

Fixed daily earnings (F): $40

Commission per pair (C): $4.50

 

D-F = $112 - $40 = $72 (this is what he must make in commission per day to reach his goal)

To find out how many pairs of shoes he must sell per day: $72/$4.50 = 16

So the equation becomes:

 

(D - F)/C

 

or

 

($112 - $40)/$4.50