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4MA1/1FR Jun 2020, Question 7: Dividing in a Given Ratio

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1FR (Foundation) · Calculator · 4 marks

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The question, in short

Four parcels total 8.3 kg, with B at 3.2 kg and three equal A parcels; then three parcels total 9.45 kg with two equal D parcels each 3 times C. Find weights.

Summarised in our own words. Use the official paper for the exact wording and the diagram.

Part (a) · 2 marks

Find the weight of each parcel labelled A, given three equal A parcels and B at 3.2 kg totalling 8.3 kg.

  1. 1(8.3 − 3.2) = 5.1
  2. 25.1 ÷ 3 = 1.7

Answer1.7

Part (b) · 2 marks

Find the weight of parcel C, given two equal D parcels each 3 times C and a total of 9.45 kg.

  1. 1Let C weigh c kg, so each D weighs 3c kg.
  2. 2Total: c + 3c + 3c = 7c = 9.45
  3. 3c = 9.45 ÷ 7 = 1.35

Answer1.35

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