
If $ 9 $ m cloth is required to stitch $ 5 $ full sleeve shirts. How much cloth is required to stitch a pair of each shirt?
Answer
457.8k+ views
Hint: First of all understand the word statement and convert it in the form of mathematical expressions. Here we are given the measure of cloth required to stitch $ 5 $ full sleeve shirts and asked to get the pair of each shirt so in total we have to find the measure of the cloth required for $ 10 $ full sleeve shirts.
Complete step-by-step answer:
Convert the given word statements in the form of mathematical expressions-
$ 5 $ full sleeve shirts require $ 9 $ m of cloth
$ \therefore 10 $ full sleeve shirts require cloth _
Frame the equation by using the cross multiplication
$ = \dfrac{{10 \times 9}}{5} $
Find the factors for the term in the numerator –
$ = \dfrac{{2 \times 5 \times 9}}{5} $
Common factors from the numerator and the denominator cancel each other and therefore remove from the numerator and the denominator of the above expression.
$ = 2 \times 9 $
Simplify the above expression finding the product of the terms.
$ = 18 $ m.
Hence, $ 18 $ m cloth is required to stitch a pair of each shirt.
So, the correct answer is “18 m”.
Note: Do not forget to write the specific and appropriate unit to the resultant value. Read the word statements twice and understand the correlation between the known and the unknown terms and accordingly frame the equation. Be good in multiples and get prime factors out of it.
Complete step-by-step answer:
Convert the given word statements in the form of mathematical expressions-
$ 5 $ full sleeve shirts require $ 9 $ m of cloth
$ \therefore 10 $ full sleeve shirts require cloth _
Frame the equation by using the cross multiplication
$ = \dfrac{{10 \times 9}}{5} $
Find the factors for the term in the numerator –
$ = \dfrac{{2 \times 5 \times 9}}{5} $
Common factors from the numerator and the denominator cancel each other and therefore remove from the numerator and the denominator of the above expression.
$ = 2 \times 9 $
Simplify the above expression finding the product of the terms.
$ = 18 $ m.
Hence, $ 18 $ m cloth is required to stitch a pair of each shirt.
So, the correct answer is “18 m”.
Note: Do not forget to write the specific and appropriate unit to the resultant value. Read the word statements twice and understand the correlation between the known and the unknown terms and accordingly frame the equation. Be good in multiples and get prime factors out of it.
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