There were some mangosteens and lemons in Box X and Box Y. In Box X, the ratio of the mangosteens to the number of lemons was 6 : 1. In Box Y, the ratio of the number of mangosteens to the number of lemons was 4 : 3. There were 3 times as many fruits in Box X as in Box Y. After another 63 lemons were put into Box Y, the ratio of the number of mangosteens to the number of lemons in Box Y became 1 : 3. How many fruits were there in Box X?

Box X		Box Y
3x7 = 21 u		1x7 = 7 u
Mangosteens	Lemons	Mangosteens	Lemons
6x3	1x3	4	3
18 u	3 u	4 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 7 is 21.

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 7 is 7.

	Box X		Box Y
	Mangosteens	Lemons	Mangosteens	Lemons
Before	18 u	3 u	4 u	3 u
Change				+ 63
After	18 u	3 u	1x4 = 4 u	3x4 = 12 u

Number of mangosteens in Box Y remains unchanged.  Make the number of mangosteens in Box Y the same.  LCM of 4 and 1 is 4.

Number of lemons put into Box Y
= 12 u - 3 u
= 9 u

9 u = 63

1 u = 63 ÷ 9 = 7

Number of fruits in Box X
= 18 u + 3 u
= 21 u
= 21 x 7
= 147

Answer(s): 147