55m of cloth is required to make 25 shirts. How much cloth will be required to make 35 shirts of the same size
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Unitary method :
25 shirts can be made = 55 m of cloth
1 shirt can be made = 55/25 m of cloth
35 shirts can be made = 55/25 * 35
= 55/5 * 7
= 11 * 7
= 77 m of cloth
35 shirts can be made = 77 m of cloth
Here I used Unitary method. You can also use Proportion method to solve this problem.
Proportion method :
Let the measure of cloth be x m
Proportion = 55 : x : : 25 : 35
We know that product of means is equal to product of extremes.
Here mean = x, 25 ; extremes = 55, 35
Product of means = Product of extremes
x * 25 = 55 * 35
25x = 1925
x = 1925/25
x = 77
Therefore 77 m of cloth is required to make 35 shirts of same size.
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