Question

A tailor had a piece of cloth. He cut $3$ smaller pieces of cloth each $\frac{3}{4}m$ from it. If he had left with $5\frac{3}{4}m$ of cloth, then find the total length of the cloth.

• A. $3m$
• B. $6m$
• C. $8m$
• D. $5m$

Answer 1

The correct option is C $8m$

Length of $1$ small piece $=\frac{3}{4}m$
$\therefore$ Length of $3$ small pieces
$=(\frac{3}{4}\times 3)m=\frac{9}{4}m$
Length of cloth left $=5\frac{3}{4}m=\frac{23}{4}m$
So, total length of cloth
$=\frac{9}{4}+\frac{23}{4}=\frac{32}{4}=8m$.