The ratio of the number of candies which three persons, Taro, Jiro, and Hanako had was 5 : 4 : 2.
Jiro got 14 candies from Taro and ate four.
After that, Jiro gave the half of candies he had to Hanako.
Then the number of candies which Taro and Hanako had became equal.
Find the number of candies Taro had first.
Answer
95 pieces
Solution
(Red figure expresses Ratio of numbers.)
Taro = 5 pieces, Jiro = 4 pieces, Hanko = 2 pieces
Taro : 5 － 14
Jiro : 4 + 14 － 4 = 4 + 10
Hanako : 2 + (2 + 5) = 4 + 5
Taro = Hanako, 5 － 14 = 4 + 5
5 － 4 = 5 + 14
1 = 19
Taro = 5 = 19 × 5 = 95 pieces
