Multiple choice

A total of \$1,105 is given to three brothers Harry, Caden and Oliver by their uncle Mr. Henry. They divide this sum in such a way that if Harry, Caden and Oliver respectively spend \$10, $20 and $15 from the money they receive, then the ratio of the sums that they have after spending will be 11 : 18 : 24. What is the share that Oliver gets?

  1. $325
  2. $495
  3. $500
  4. $521
  5. $575
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Total after spending = 1105 - (10+20+15) = 1060. The ratio 11:18:24 sums to 53 parts. 1060 / 53 = 20. Oliver's share after spending = 24 * 20 = 480. Original share = 480 + 15 = 495.

AI explanation

Let the initial amounts Harry, Caden and Oliver receive be 11x + 10, 18x + 20 and 24x + 15. The total sum is 1105, so (11x + 10) + (18x + 20) + (24x + 15) = 1105. Simplifying gives 53x + 45 = 1105, meaning 53x = 1060 and x = 20. Oliver's share is 24x + 15, which is 480 + 15, equaling 495.

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