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Three siblings, Amanda, Brian and Candy received their pocket money. The ratio of Amanda's pocket money to Brian's pocket money was 4 : 7. The ratio of Brian's pocket money to Candy's pocket money was 3 : 5. What was the ratio of Amanda's pocket money to Candy's pocket money? (Please leave your answer in the simplest ratio.)

Question

Three siblings, Amanda, Brian and Candy received their pocket money. The ratio of Amanda's pocket money to Brian's pocket money was 4 : 7. The ratio of Brian's pocket money to Candy's pocket money was 3 : 5. What was the ratio of Amanda's pocket money to Candy's pocket money? (Please leave your answer in the simplest ratio.)

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Solution

To solve this problem, we need to find a common multiplier for the ratios so we can compare them directly.

  1. The ratio of Amanda's pocket money to Brian's pocket money is 4 : 7.
  2. The ratio of Brian's pocket money to Candy's pocket money is 3 : 5.

To find a common multiplier for Brian's pocket money, we can multiply the two ratios together.

  1. Multiply the first ratio by 3 (the amount Brian has in the second ratio): 43 : 73 = 12 : 21.
  2. Multiply the second ratio by 7 (the amount Brian has in the first ratio): 37 : 57 = 21 : 35.

Now, we can see that Brian's pocket money is 21 in both ratios, so we can compare Amanda's and Candy's directly:

The ratio of Amanda's pocket money to Candy's pocket money is 12 : 35.

This problem has been solved

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