Question

A shirt needs 2¼m cloth . How many shirts can be made from 31½m cloth

Answer 1

Step-by-step explanation:

Let x₁=1,y₁=2 1/4 m = 9/4 m

x₂=x and y₂=31 1/2 m = 63/2 m

As number of shirts and amount of cloth are directly proportional,

x₁/x₂=y₁/y₂

⇒1/x=[(9/4)/(63/2)]

⇒1/x=1/14

⇒x=14 u

Therefore,14 shirts can be stitched from 31 1/2 m of cloth.

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Answer 2

Answer:

$a \: shirt \: needs = 2 \times \frac{1}{4} = \frac{9}{4} \\ shirts \: to \: be \: made \: of \: = 31 \times \frac{1}{2} = \frac{63}{2} \\ shirts \: can \: be \: made \: of \: \frac{63}{2} \\ = \frac{63}{2} \div \frac{9}{4} \\ =\frac{63}{2} \times \frac{4}{9} \\ = 7 \times 2 = 14$