There were some apples and pears in Box P and Box Q. In Box P, the ratio of the apples to the number of pears was 6 : 1. In Box Q, the ratio of the number of apples to the number of pears was 4 : 3. There were 3 times as many fruits in Box P as in Box Q. After another 25 pears were put into Box Q, the ratio of the number of apples to the number of pears in Box Q became 1 : 2. How many fruits were there in Box P?

Box P		Box Q
3x7 = 21 u		1x7 = 7 u
Apples	Pears	Apples	Pears
6x3	1x3	4	3
18 u	3 u	4 u	3 u

The total number of fruits in Box P is repeated.  Make the total number of fruits in Box P the same.  LCM of 3 and 7 is 21.

The total number of fruits in Box Q at first is repeated.  Make the total number of fruits in Box Q the same.  LCM of 1 and 7 is 7.

	Box P		Box Q
	Apples	Pears	Apples	Pears
Before	18 u	3 u	4 u	3 u
Change				+ 25
After	18 u	3 u	1x4 = 4 u	2x4 = 8 u

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

Number of pears put into Box Q
= 8 u - 3 u
= 5 u

5 u = 25

1 u = 25 ÷ 5 = 5

Number of fruits in Box P
= 18 u + 3 u
= 21 u
= 21 x 5
= 105

Answer(s): 105