The ratio of the amount of the money that Taro and Jiro had was 7 : 4.
When Taro gave 150 yen to Jiro, the ratio of the money that Taro and Jiro had became 8 : 5.
Find the amount of the money Taro had first.
When Taro gave 150 yen to Jiro, the ratio of the money that Taro and Jiro had became 8 : 5.
Find the amount of the money Taro had first.
Answer
The money in hand of Taro is 143 × 7/11 = 91.
After giving 150 yen to Jiro, it is 143 × 8/13 =88. 3 which is a difference of 91 and 88 is equivalent to 150 yen.
The amount of the money Taro had first was 150 yen / 3 × 91 = 4550 yen.
4550 yen
Solution
Since the sum total of two persons' money in hand does not change, the sum total is set to be (7 + 4) × (8 + 5) = 143.
The money in hand of Taro is 143 × 7/11 = 91.
After giving 150 yen to Jiro, it is 143 × 8/13 =88. 3 which is a difference of 91 and 88 is equivalent to 150 yen.
The amount of the money Taro had first was 150 yen / 3 × 91 = 4550 yen.
