Multiple choice

A man divides his property so that his son's share to his wife's and the wife's share to his daughter are both in the ratio $3:1$. If the daughter gets $10,000$ less than the son, find the total worth of the property.

  1. $15,000$
  2. $16,250$
  3. $20,000$
  4. $25,000$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let daughter's share = x. Wife's share = 3x. Son's share = 3(3x) = 9x. Total = 13x. Given 9x - x = 10000, 8x = 10000, x = 1250. Total property = 13 * 1250 = 16250.

AI explanation

Let the son's, wife's, and daughter's shares be S, W, and D. Given S:W = 3:1 and W:D = 3:1, the combined ratio S:W:D becomes 9:3:1, making the total property 9x + 3x + 1x = 13x. Since the daughter gets 10000 less than the son, 9x - 1x = 10000, so 8x = 10000 and x = 1250. The total worth is 13 times 1250, which is 16250.

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