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

Ellen's share of the profits was $2,460.

The question provides the information that Tom's share was $492. The circle graph shows that Tom's share was 20% of the total profits. So, to find the total profits, we can calculate $492 divided by 20% (or 0.2). Once we have the total profit, we can then calculate Ellen's share, which was 100% of the profits, by multiplying the total profit by 100% (or 1.0).

A ($2,460) CORRECT

This is the correct answer. Given that Tom's share was $492 and it represented 20% of the total profits, we can calculate the total profits as $492 / 0.2 = $2,460. Since the graph shows that Ellen received 100% of the profits, her share would be $2,460 * 1.0 = $2,460.

B ($615) YOUR ANSWER

This choice might be selected if one incorrectly calculated Ellen's share as 25% of the total profits. However, since the graph shows that Ellen received 100% of the profits, her share should be calculated as the total profits, not 25% of them.

C ($738) YOUR ANSWER

This choice might be selected if one incorrectly calculated Ellen's share as 30% of the total profits. However, since the graph shows that Ellen received 100% of the profits, her share should be calculated as the total profits, not 30% of them.

D ($820) YOUR ANSWER

This choice might be selected if one incorrectly calculated Ellen's share as 40% of the total profits. However, since the graph shows that Ellen received 100% of the profits, her share should be calculated as the total profits, not 40% of them.

Conclusion

In conclusion, by knowing that Tom's share of $492 represented 20% of the total profits, we were able to calculate the total profits. As the graph indicated that Ellen received 100% of these profits, it was then straightforward to determine that Ellen's share was $2,460. Misinterpretations of the graph or miscalculations could have led to the selection of the other options, but these do not accurately reflect the information provided in the question.

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?

Ellen's share of the profits was $2,460.

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