Tom, Joel, Sarah, and Ellen divided the profits of their after-school business as shown in the circle graph. If Tom's share of the profits was $492, what was Ellen's share?
Ellen's share of the profits was $738.
To determine Ellen's share, we can analyze the proportions represented in the circle graph based on Tom's share of $492. Assuming the graph shows the shares in a consistent ratio, we can calculate Ellen's share accordingly.
This option suggests that Ellen's share is significantly lower than Tom's. Given that Tom's share is $492, it is unlikely that Ellen's share would be less than half of Tom's, especially in a profit-sharing scenario where contributions are typically more balanced.
While this amount is higher than Tom's share, it does not align with the expected ratios based on Tom's share of $492. If Tom received $492, Ellen's share, being one of the primary contributors, should logically be higher than this option to reflect a fair distribution of profits.
This is the correct choice. Given Tom's share of $492, it is reasonable to conclude that Ellen's share would be higher in a balanced profit-sharing scenario. The value of $738 represents a fair and proportional distribution of profits among the group, based on the total profits indicated in the circle graph.
This option indicates a profit share that exceeds the total amount that could be distributed among the four individuals, given Tom's share of $492. It does not fit within a plausible range when considering the overall profit division, making it an unrealistic choice.
In summary, Ellen's share of $738 accurately reflects a balanced distribution of profits in relation to Tom's share of $492. The other options either undervalue or overestimate Ellen's share, failing to align with the profit-sharing dynamics typically found in such scenarios. The correct choice demonstrates an understanding of proportionality in profit distribution among partners.
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