There were some passion fruits and chikoos in Box Q and Box R. In Box Q, the ratio of the passion fruits to the number of chikoos was 1 : 1. In Box R, the ratio of the number of passion fruits to the number of chikoos was 3 : 1. There were 2 times as many fruits in Box Q as in Box R. After another 40 chikoos were put into Box R, the ratio of the number of passion fruits to the number of chikoos in Box R became 1 : 3. How many fruits were there in Box R in the end?

Box Q		Box R
2x4 = 8 u		1x4 = 4 u
Passion fruits	Chikoos	Passion fruits	Chikoos
1x4	1x4	3	1
4 u	4 u	3 u	1 u

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

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

	Box Q		Box R
	Passion fruits	Chikoos	Passion fruits	Chikoos
Before	4 u	4 u	3 u	1 u
Change				+ 40
After	4 u	4 u	1x3 = 3 u	3x3 = 9 u

Number of passion fruits in Box R remains unchanged.  Make the number of passion fruits in Box R the same.  LCM of 3 and 1 is 3.

Number of chikoos put into Box R
= 9 u - 1 u
= 8 u

8 u = 40

1 u = 40 ÷ 8 = 5

Number of fruits in Box R in the end
= 3 u + 9 u
= 12 u
= 12 x 5
= 60

Answer(s): 60