There were some mangoes and lemons in Box C and Box D. In Box C, the ratio of the mangoes to the number of lemons was 7 : 1. In Box D, the ratio of the number of mangoes to the number of lemons was 5 : 3. There were 3 times as many fruits in Box C as in Box D. After another 68 lemons were put into Box D, the ratio of the number of mangoes to the number of lemons in Box D became 1 : 4. How many fruits were there in Box C?

Box C		Box D
3x8 = 24 u		1x8 = 8 u
Mangoes	Lemons	Mangoes	Lemons
7x3	1x3	5	3
21 u	3 u	5 u	3 u

The total number of fruits in Box C is repeated.  Make the total number of fruits in Box C the same.  LCM of 3 and 8 is 24.

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

	Box C		Box D
	Mangoes	Lemons	Mangoes	Lemons
Before	21 u	3 u	5 u	3 u
Change				+ 68
After	21 u	3 u	1x5 = 5 u	4x5 = 20 u

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

Number of lemons put into Box D
= 20 u - 3 u
= 17 u

17 u = 68

1 u = 68 ÷ 17 = 4

Number of fruits in Box C
= 21 u + 3 u
= 24 u
= 24 x 4
= 96

Answer(s): 96