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4MA1/1F Jan 2019, Question 10: Dividing in a Given Ratio

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1F (Foundation) · Calculator · 3 marks

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The question, in short

Teachers are left or right footed in the ratio 3 : 13; a teacher is chosen at random. Find the probability of being left footed, and use 18 left footed teachers to find how many are right footed.

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Part (a) · 1 mark

Find the probability that a randomly chosen teacher is left footed, given the ratio 3 : 13.

  1. 1Total number of parts = 3 + 13 = 16
  2. 2P(left footed) = 3/16

Answer3/16

Part (b) · 2 marks

Given 18 left footed teachers, work out the number of right footed teachers using the ratio 3 : 13.

  1. 1Left footed is 3 parts, and 3 parts = 18 teachers.
  2. 21 part = 18 ÷ 3 = 6 teachers
  3. 3Right footed = 13 parts = 13 × 6 = 78

Answer78

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