Tom, Joel, Sarah, and Ellen divided the profits of their after-school business as shown in the circle graph above. If Tom's share of the profits was $492, what was Ellen's share?

Rationale

$738

Tom's share of the profits represents 30% of the total, as indicated in the circle graph. Knowing that Tom received $492 allows us to calculate the total profits, which amounts to $1,640 ($492 is 30% of the total). To find Ellen's share, we look at the graph, which shows Ellen receiving 45% of the profits. Calculating 45% of $1,640 gives us $738, making

C ($738) CORRECT

the correct choice.

A ($246) YOUR ANSWER

This amount corresponds to Sarah's share of the profits, which is 15% according to the graph. It does not match Ellen's share.

B ($615) YOUR ANSWER

This value is not reflective of any individual's share based on the information provided in the question. It does not align with Tom's $492 share or the percentages in the graph.

D ($820) YOUR ANSWER

The figure does not align with any individual's share based on the information provided. It does not correspond to Tom's share or any percentage shown in the circle graph.

Conclusion

By analyzing the information presented in the graph and using the amount of Tom's share to determine the total profits, we can calculate the correct share for each individual. Ellen's share amounts to $738, as she received 45% of the profits, making it the accurate choice in this scenario.

Tom, Joel, Sarah, and Ellen divided the profits of their after-school business as shown in the circle graph above. If Tom's share of the profits was $492, what was Ellen's share?

$738

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