There were some kiwis and chikoos in Box A and Box B. In Box A, the ratio of the kiwis to the number of chikoos was 1 : 1. In Box B, the ratio of the number of kiwis to the number of chikoos was 3 : 1. There were 2 times as many fruits in Box A as in Box B. After another 80 chikoos were put into Box B, the ratio of the number of kiwis to the number of chikoos in Box B became 1 : 3. How many fruits were there in Box A?

Box A		Box B
2x4 = 8 u		1x4 = 4 u
Kiwis	Chikoos	Kiwis	Chikoos
1x4	1x4	3	1
4 u	4 u	3 u	1 u

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

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

	Box A		Box B
	Kiwis	Chikoos	Kiwis	Chikoos
Before	4 u	4 u	3 u	1 u
Change				+ 80
After	4 u	4 u	1x3 = 3 u	3x3 = 9 u

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

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

8 u = 80

1 u = 80 ÷ 8 = 10

Number of fruits in Box A
= 4 u + 4 u
= 8 u
= 8 x 10
= 80

Answer(s): 80