There were some pomegranates and apples in Box G and Box H. In Box G, the ratio of the pomegranates to the number of apples was 3 : 1. In Box H, the ratio of the number of pomegranates to the number of apples was 3 : 1. There were 2 times as many fruits in Box G as in Box H. After another 110 apples were put into Box H, the ratio of the number of pomegranates to the number of apples in Box H became 1 : 4. How many fruits were there in Box H in the end?

Box G		Box H
2x4 = 8 u		1x4 = 4 u
Pomegranates	Apples	Pomegranates	Apples
3x2	1x2	3	1
6 u	2 u	3 u	1 u

The total number of fruits in Box G is repeated.  Make the total number of fruits in Box G the same.  LCM of 2 and 4 is 8.

The total number of fruits in Box H at first is repeated.  Make the total number of fruits in Box H the same.  LCM of 1 and 4 is 4.

	Box G		Box H
	Pomegranates	Apples	Pomegranates	Apples
Before	6 u	2 u	3 u	1 u
Change				+ 110
After	6 u	2 u	1x3 = 3 u	4x3 = 12 u

Number of pomegranates in Box H remains unchanged.  Make the number of pomegranates in Box H the same.  LCM of 3 and 1 is 3.

Number of apples put into Box H
= 12 u - 1 u
= 11 u

11 u = 110

1 u = 110 ÷ 11 = 10

Number of fruits in Box H in the end
= 3 u + 12 u
= 15 u
= 15 x 10
= 150

Answer(s): 150