Question

#20 A shirt costs $15 more than a pair of shorts. Terrell paid $101 for 3 shirts and 5 pairs of shorts. How much did each shirts cost?

Answer 1

$22.

Explanation:

Let x represent cost of each shirt and y represent cost of each shorts.

We have been given that a shirt costs $15 more than a pair of shorts. We can represent this information in an equation as:

`y=x-15...(1)`

We are also told that Terrell paid $101 for 3 shirts and 5 pairs of shorts. We can represent this information in an equation as:

`3x+5y=101...(2)`

Upon substituting equation (1) in equation (2), we will get:

`3x+5(x-15)=101`

`3x+5x-75=101`

`8x-75=101`

`8x-75+75=101+75`

`8x=176`

`(8x)/(8)=(176)/(8)`

`x=22`

Therefore, the cost of each shirt is $22.