Manny goes to the mall to buy new shoes and jerseys. He pays a set rate per pair of shoes and a set rate per jersey, and he pays more per jersey than he pays for shoes. His total spending can be modeled by the equation `40x+60y.`Which of the following states correctly interprets a part of the expression

Manny spends $40 in total on shoes
Manny spends $60 per pair in shoes
Manny spends $40 per pair in shoes
Manny spends $20 per pair in shoes

1 answer

In the expression $ 40x + 60y $, $ x $ represents the number of pairs of shoes, and $ y $ represents the number of jerseys. The coefficient $ 40 $ corresponds to the cost per pair of shoes, and $ 60 $ corresponds to the cost per jersey.

Given this interpretation, the correct statement is:

Manny spends $40 per pair in shoes.

The other statements are incorrect because:

"Manny spends $40 in total on shoes" is not correct since $ 40x $ represents the total cost for $ x $ pairs of shoes.
"Manny spends $60 per pair in shoes" is incorrect because $ 60 $ is the cost per jersey, not shoes.
"Manny spends $20 per pair in shoes" is also incorrect since it does not match the $ 40 $ cost per pair of shoes.