Question

A sporting goods manufacturer has 25 1/4 yd of fabric to make soccer shorts. Each pair of soccer shorts requires 3/5 yd of fabric.

a. How many pairs of soccer shorts can be​ made?
b. How much material will be left​ over?

Answer 1

A) 504 pairs of soccer shorts can be​ made .

B)
`(1)/(12)` material will be left​ over .

Explanation:

Here we have , A sporting goods manufacturer has 25 1/4 yd of fabric to make soccer shorts. Each pair of soccer shorts requires 3/5 yd of fabric. We need to find :

a. How many pairs of soccer shorts can be​ made?

Here , A sporting goods manufacturer has 25 1/4 yd of fabric to make soccer shorts and Each pair of soccer shorts requires 3/5 yd of fabric , So Number of soccer shorts can be made :

⇒
`(25(1)/(4) )/((3)/(5) )`

⇒
`(101)/(4) }((5)/(3))`

⇒
`(505)/(12)`

⇒
`504(1)/(12)`

Therefore , 504 pairs of soccer shorts can be​ made .

b. How much material will be left​ over?

Since Number of soccer shorts can be made is
`504(1)/(12)` , Therefore ,
`(1)/(12)` material will be left​ over .