A) 504 pairs of soccer shorts can be made .
B) [tex]\frac{1}{12}[/tex] material will be left over .
Step-by-step 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 :
⇒ [tex]\frac{25\frac{1}{4} }{\frac{3}{5} }[/tex]
⇒ [tex]\frac{101}{4} }(\frac{5}{3})[/tex]
⇒ [tex]\frac{505}{12}[/tex]
⇒ [tex]504\frac{1}{12}[/tex]
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 [tex]504\frac{1}{12}[/tex] , Therefore , [tex]\frac{1}{12}[/tex] material will be left over .
