A tailor has 1534 metres of fine silk. If making one kurta requires 214 metres of silk, exactly how many kurtas can he make?

Step-by-step solution

Idea: Number of kurtas = total silk ÷ silk per kurta. Change mixed numbers to improper fractions before dividing.

1. 1534 = 60 + 34 = 634 and 214 = 94.½ mark
2. Number of kurtas = 634 ÷ 94 = 634 × 49.½ mark
3. = 639 = 7. He can make exactly 7 kurtas.1 mark

Check: 7 × 214 = 14 + 74 = 1534 m ✓.

Answer to write in the exam

Common mistakes that cost marks

• Dividing whole parts and fraction parts separately: 15 ÷ 2 and 34 ÷ 14.
• Writing 1534 as 184 (adding 15 + 3) instead of 634.
• Multiplying instead of dividing.

How this can come in the exam

Try one yourself

A cook has 834 cups of flour. Each batch of rotis needs 114 cups. How many batches can she make?

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