There were some chikoos and passion fruits in Box X and Box Y. In Box X, the ratio of the chikoos to the number of passion fruits was 7 : 1. In Box Y, the ratio of the number of chikoos to the number of passion fruits was 5 : 3. There were 3 times as many fruits in Box X as in Box Y. After another 102 passion fruits were put into Box Y, the ratio of the number of chikoos to the number of passion fruits in Box Y became 1 : 4. How many fruits were there in Box X?

Box X		Box Y
3x8 = 24 u		1x8 = 8 u
Chikoos	Passion fruits	Chikoos	Passion fruits
7x3	1x3	5	3
21 u	3 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 8 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
	Chikoos	Passion fruits	Chikoos	Passion fruits
Before	21 u	3 u	5 u	3 u
Change				+ 102
After	21 u	3 u	1x5 = 5 u	4x5 = 20 u

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

Number of passion fruits put into Box Y
= 20 u - 3 u
= 17 u

17 u = 102

1 u = 102 ÷ 17 = 6

Number of fruits in Box X
= 21 u + 3 u
= 24 u
= 24 x 6
= 144

Answer(s): 144