If \(A:B = 3:4\) and \(B:C = 6:5\), then \(A:B:C\) equals:

Question

There are 187 fruits in total. The ratio of apples to mangoes is \(2 : 3\), and the rest are oranges. After selling 67 apples, 26 mangoes, and half of the oranges, the ratio of the remaining apples to oranges becomes \(1 : 2\). Determine how many unsold fruits remain.

Answer 1

Step 1: Make \(B\) common. \(A:B = 3:4 = 9:12\) (times 3); \(B:C = 6:5 = 12:10\) (times 2).
Step 2: Hence \(A:B:C = 9:12:10\).

Quick Tip: To chain ratios, scale each so the shared term (here \(B\)) has the same value.

If \(A:B = 3:4\) and \(B:C = 6:5\), then \(A:B:C\) equals:

The Correct Option is A

Solution and Explanation

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