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.