2023 ACSBR EM S1 EOY P1 Q11

2023 ACSBR EM S1 EOY P1 Q11

4 marks

The ratio of \({x:y}\) is \({1\frac{1}{2} : 2\frac{2}{5}}\) and \({x:z}\) is \({3:4}\).

  1. Express the ratio of \({x:y}\) in the simplest form.[1]
  2. Find the ratio of \({x:y:z}\).[1]
  3. Alan, Ben and Caius shared a sum of money in the ratio found in part (b) respectively. If Caius has \(\$60\) more than Alan, find the total amount of money the three of them have.[2]

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Answer:(a) \(5:8\) (b) \(15:24:20\) (c) \(\$708\)

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