Question 34 of 48intermediate🔧 ApplyNumerical3 marks

Dhara collected 45 spokes. How many wheels can she make? Does Dhara have enough spokes to make 10 wheels? How many wheels can you make with 60 spokes?

Correct Answer

Given: 5 spokes are needed to make 1 wheel.

(a) With 45 spokes: Number of wheels = 45 ÷ 5 = 9 ∴ Dhara can make 9 wheels.

(b) For 10 wheels: Spokes needed = 10×510 \times 5 = 50 Dhara has only 45 spokes 45 < 50 ∴ Dhara does not have enough spokes for 10 wheels.

(c) With 60 spokes: Number of wheels = 60 ÷ 5 = 12 ∴ You can make 12 wheels.

Exercise: Spokes Problem | Q: 4 | (Page Page 21)
For More Understanding

Explanation

The chapter shows division through repeated subtraction. With 45 spokes and 5 spokes per wheel: 45 ÷ 5 = 9 wheels. For 10 wheels, need 50 spokes (10×510 \times 5 = 50), but Dhara has only 45. With 60 spokes: 60 ÷ 5 = 12 wheels.

Solution Steps

  1. Step 1: Spokes per wheel = 5

  2. Step 2: With 45 spokes: 45 ÷ 5 = 9 wheels

  3. Step 3: For 10 wheels: need 10×510 \times 5 = 50 spokes. 45 < 50, so not enough

  4. Step 4: With 60 spokes: 60 ÷ 5 = 12 wheels

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