jgagslp0512 jgagslp0512
  • 02-09-2019
  • Mathematics
contestada

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?

Respuesta :

calculista
calculista calculista
  • 04-09-2019

Answer:

[tex]36\ shirts[/tex]

Step-by-step 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

[tex]4\frac{3}{5}=\frac{4*5+3}{5}=\frac{23}{5}\ yd[/tex]

[tex]165\frac{3}{5}=\frac{165*5+3}{5}=\frac{828}{5}\ yd[/tex]

Let

x -----> the number of shirts

[tex]1/(23/5)=x/(828/5)[/tex]

[tex]x=828/23\\x=36\ shirts[/tex]

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