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

Answer:

$22.

Step-by-step 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:

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

$3x+5x-75=101$

$8x-75=101$

$8x-75+75=101+75$

$8x=176$

$\frac{8x}{8}=\frac{176}{8}$

$x=22$

Therefore, the cost of each shirt is $22.