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?

9 : 5

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9 : 5

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12 : 5

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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 $3 \times 4 = 12$ rectangles which is shown in tape diagram below.

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

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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?

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?