Question

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

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

Answer 1

112=4.5p+40

16

Explanation:

Answer 2

Roger needs to sell 16 pairs of shoes.

Explanation:

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

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

Solution :

Let the number of pairs of shoes be p.

$4.50 as a commission for every pair of shoes he sells in a day i.e. 4.5p.

According to question,

`112 = 4.5p+40`

i.e. the daily earning goal is equal to the wage per day plus the number of shoes multiplied by the commission for each pair.

Solving the equation,

`4.5x=112-40`

`4.5x=72`

`x=(72)/(4.5)`

`x=16`

Therefore, Roger needs to sell 16 pairs of shoes.