4MA1/2F Jan 2021, Question 24: Dividing in a Given Ratio
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2F (Foundation) · Calculator · 3 marks
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The question, in short
Teams A and B are in ratio 3:4; 4/5 of A and 24% of B work full time. Find the fraction of all staff working full time, in simplest form.
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Solution · 3 marks
- 1Team A is 3/7 of the people and Team B is 4/7
- 2Full time from Team A: 4/5 × 3/7 = 12/35
- 3Full time from Team B: 24/100 × 4/7 = 24/175
- 4Total: 60/175 + 24/175 = 84/175 = 12/25
Answer12/25
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