Answer:
Roger needs to sell 16 pairs of shoes.
Step-by-step 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,
[tex]112 = 4.5p+40[/tex]
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,
[tex]4.5x=112-40[/tex]
[tex]4.5x=72[/tex]
[tex]x=\frac{72}{4.5}[/tex]
[tex]x=16[/tex]
Therefore, Roger needs to sell 16 pairs of shoes.
