There were some oranges and mangosteens in Box X and Box Y. In Box X, the ratio of the oranges to the number of mangosteens was 11 : 1. In Box Y, the ratio of the number of oranges to the number of mangosteens was 5 : 3. There were 3 times as many fruits in Box X as in Box Y. After another 60 mangosteens were put into Box Y, the ratio of the number of oranges to the number of mangosteens in Box Y became 1 : 3. How many fruits were there in Box Y in the end?

Box X		Box Y
3x8 = 24 u		1x8 = 8 u
Oranges	Mangosteens	Oranges	Mangosteens
11x2	1x2	5	3
22 u	2 u	5 u	3 u

The total number of fruits in Box X is repeated.  Make the total number of fruits in Box X the same.  LCM of 3 and 12 is 24.

The total number of fruits in Box Y at first is repeated.  Make the total number of fruits in Box Y the same.  LCM of 1 and 8 is 8.

	Box X		Box Y
	Oranges	Mangosteens	Oranges	Mangosteens
Before	22 u	2 u	5 u	3 u
Change				+ 60
After	22 u	2 u	1x5 = 5 u	3x5 = 15 u

Number of oranges in Box Y remains unchanged.  Make the number of oranges in Box Y the same.  LCM of 5 and 1 is 5.

Number of mangosteens put into Box Y
= 15 u - 3 u
= 12 u

12 u = 60

1 u = 60 ÷ 12 = 5

Number of fruits in Box Y in the end
= 5 u + 15 u
= 20 u
= 20 x 5
= 100

Answer(s): 100