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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. )

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4 votes

Final answer:

To find the ratio of Amanda's to Candy's pocket money, calculate based on Brian's amount using given ratios, resulting in divisions and multiplications that lead to the simplest ratio of 12:35.

Step-by-step explanation:

To solve the problem, we first need to find a common basis to compare the pocket money of all three siblings, Amanda, Brian, and Candy. Given the ratios A:B = 4:7 and B:C = 3:5, we can calculate Amanda's pocket money to Candy's pocket money using cross-multiplication.

Let's assume that Brian's pocket money is represented by a number that both 7 and 3 divide into evenly, say 21 (as 7 × 3 = 21). Therefore, if Brian has $21, Amanda has (4/7) × 21 = $12, and Candy has (21/3) × 5 = $35.

Comparing Amanda's and Candy's amounts directly, the ratio of Amanda's pocket money to Candy's pocket money will be 12:35. To simplify the ratio, we divide both numbers by the greatest common divisor, which is 1 in this case, so the ratio remains 12:35, which is already in the simplest ratio.

User Rajat Goel
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8.7k points
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I think the correct answer is 5
User Roman Bodnarchuk
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8.0k points