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Whole numbersMCQ · 2 marks

A fruit seller had 8.4 kg of apples. He packed them into three baskets. The mass of the first basket was twice the mass of the second basket. The mass of the second basket was 3 times the mass of the third basket. What was the mass of the second basket?

  1. 0.84 kg
  2. 2.52 kg
  3. 2.80 kg
  4. 4.20 kg
Need a hint?

Start with the smallest basket as 1 unit. How many units is the second basket? Then how many units is the first basket? Add all the units before dividing.

Worked answer

  1. Let the third basket be 1 unit.
  2. Second basket = 3 units (3 times the third).
  3. First basket = 2 × 3 = 6 units (twice the second).
  4. Total = 6 + 3 + 1 = 10 units.
  5. 10 units = 8.4 kg, so 1 unit = 0.84 kg.
  6. Second basket = 3 units = 3 × 0.84 = 2.52 kg.
Answer: 2.52 kg

The mistake this question tests

Habit

Stopped at one part in ratio

Pupils often divide 8.4 kg by 3 (the three baskets) to get 2.80 kg, forgetting the baskets are not equal. Others find 1 unit = 0.84 kg but forget to multiply by 3 for the second basket.

How to fix it at home →

Wrong answers children often give:

  • 2.80 kg Stopped at one part in ratio
  • 0.84 kg Calculation slip
  • 4.20 kg Stopped at one part in ratio

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