Question

A denim shirt at a certain factory requires 4 3/5 yards of material. how many shirts can be made from 165 3/5 yards of material?

Answer 1

`36\ shirts`

Explanation:

we know that

A denim shirt requires 4 3/5 yards of material

so

using proportion

Find out how many shirts can be made from 165 3/5 yards of material

But, first convert mixed numbers to an improper fractions

`4(3)/(5)=(4*5+3)/(5)=(23)/(5)\ yd`

`165(3)/(5)=(165*5+3)/(5)=(828)/(5)\ yd`

Let

x -----> the number of shirts

`1/(23/5)=x/(828/5)`

`x=828/23\\x=36\ shirts`