There were some passion fruits and pomegranates in Box T and Box U. In Box T, the ratio of the passion fruits to the number of pomegranates was 5 : 1. In Box U, the ratio of the number of passion fruits to the number of pomegranates was 5 : 3. There were 3 times as many fruits in Box T as in Box U. After another 48 pomegranates were put into Box U, the ratio of the number of passion fruits to the number of pomegranates in Box U became 1 : 3. How many fruits were there in Box T?

Box T		Box U
3x8 = 24 u		1x8 = 8 u
Passion fruits	Pomegranates	Passion fruits	Pomegranates
5x4	1x4	5	3
20 u	4 u	5 u	3 u

The total number of fruits in Box T is repeated.  Make the total number of fruits in Box T the same.  LCM of 3 and 6 is 24.

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

	Box T		Box U
	Passion fruits	Pomegranates	Passion fruits	Pomegranates
Before	20 u	4 u	5 u	3 u
Change				+ 48
After	20 u	4 u	1x5 = 5 u	3x5 = 15 u

Number of passion fruits in Box U remains unchanged.  Make the number of passion fruits in Box U the same.  LCM of 5 and 1 is 5.

Number of pomegranates put into Box U
= 15 u - 3 u
= 12 u

12 u = 48

1 u = 48 ÷ 12 = 4

Number of fruits in Box T
= 20 u + 4 u
= 24 u
= 24 x 4
= 96

Answer(s): 96