Question 26 of 58beginner🔧 ApplyNumerical2 marks

A tailor has 153415\frac{3}{4} metres of fine silk. If making one kurta requires 2142\frac{1}{4} metres of silk, exactly how many kurtas can he make?

Correct Answer

7 kurtas

Exercise: Exercise Set 3.4 | Q: 4 | (Page 12)
For More Understanding

Explanation

To determine the exact number of kurtas the tailor can make, we need to divide the total length of fine silk by the length of silk required for one kurta. Since both measurements are given as mixed fractions, we first convert them into improper fractions to simplify the calculation. After converting, we perform the division by multiplying the total silk fraction by the reciprocal of the per-kurta fraction. The common terms cancel out, leaving a simple division that gives the exact whole number of kurtas possible.

Solution Steps

  1. Step 1: Convert the mixed fractions into improper fractions. Total silk = 1534=(15×4)+34=63415\frac{3}{4} = \frac{(15 \times 4) + 3}{4} = \frac{63}{4} metres. Silk for one kurta = 214=(2×4)+14=942\frac{1}{4} = \frac{(2 \times 4) + 1}{4} = \frac{9}{4} metres.

  2. Step 2: Divide the total silk by the silk required for one kurta. Number of kurtas = 634÷94\frac{63}{4} \div \frac{9}{4}.

  3. Step 3: Multiply by the reciprocal to solve the division. Number of kurtas = 634×49=639=7\frac{63}{4} \times \frac{4}{9} = \frac{63}{9} = 7.

PreviousNext