contestada

#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?

Respuesta :

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:

[tex]y=x-15...(1)[/tex]

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:

[tex]3x+5y=101...(2)[/tex]

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

[tex]3x+5(x-15)=101[/tex]

[tex]3x+5x-75=101[/tex]

[tex]8x-75=101[/tex]

[tex]8x-75+75=101+75[/tex]

[tex]8x=176[/tex]

[tex]\frac{8x}{8}=\frac{176}{8}[/tex]

[tex]x=22[/tex]

Therefore, the cost of each shirt is $22.