Multiple choice

A and B had to share a certain amount of money in the ratio 3 : 4, but they shared the money in the ratio 4 : 5. Due to this change, A got $200 extra. What is the total amount of money they divided among themselves?

  1. $8200
  2. $10,400
  3. $11,800
  4. $12,600
  5. $15,300
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let the total money be x. A's share changed from (3/7)x to (4/9)x. The difference is (4/9 - 3/7)x = (28 - 27)/63 * x = x/63. Given x/63 = 200, x = 12600.

AI explanation

In the initial ratio of 3:4, A's fraction of the total amount is 3/7. In the revised ratio of 4:5, A's fraction of the total amount becomes 4/9. The difference between these fractions is 4/9 minus 3/7, which equals 1/63 of the total amount. Since this 1/63 portion equals the extra \$200 A received, the total amount is 200 multiplied by 63, which is \$12,600.

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