Multiple choice

A and B divided some money between themselves in the ratio 5 : 2. A gave 20% of his money to B and still had $170 more than B. What was the original amount of money that they divided?

  1. $678
  2. $850
  3. $920
  4. $1,190
  5. $1,250
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D Correct answer
Explanation

Let the initial amounts be 5x and 2x. A gives 20% of 5x (which is x) to B, so A has 4x and B has 3x. The difference 4x - 3x = x = 170. The total amount is 5x + 2x = 7x = 7 * 170 = 1190.

AI explanation

Assume the total original amount of money divided between A and B is 7x, making their initial shares 5x and 2x. After A gives 20% of his money to B, A has 4x and B has 3x, resulting in a difference of 4x - 3x = x. Since this difference equals 170, x equals 170. The total original amount is 7x, which calculates to 7 x 170 = $1,190.

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