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Question

Joe, Robert, and Alex are friends. Joe earns 3 times as much as Robert. The earnings of Robert to Alex is in the ratio 4:5. What is the ratio of the earnings of Joe to Alex?

A
9:5
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B
9:5
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C
12:5
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D
3:5
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Solution

The correct option is C 12:5
tape diagram:
The above tape diagram shows the ratio between Joe, Robert and Robert, Alex respectively.

From the above tape diagram, if Robert has 4 rectangles then Alex will have 5.
Since the earnings of Joe and Robert are in the ratio 3:1, Joe will have 3×4=12 rectangles which is shown in tape diagram below.


Thus, the ratio between Joe and Alex is 12:5.

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