There were some kiwis and starfruits in Box W and Box X. In Box W, the ratio of the kiwis to the number of starfruits was 7 : 1. In Box X, the ratio of the number of kiwis to the number of starfruits was 5 : 3. There were 3 times as many fruits in Box W as in Box X. After another 60 starfruits were put into Box X, the ratio of the number of kiwis to the number of starfruits in Box X became 1 : 3. How many fruits were there in Box W?

Box W		Box X
3x8 = 24 u		1x8 = 8 u
Kiwis	Starfruits	Kiwis	Starfruits
7x3	1x3	5	3
21 u	3 u	5 u	3 u

The total number of fruits in Box W is repeated.  Make the total number of fruits in Box W the same.  LCM of 3 and 8 is 24.

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

	Box W		Box X
	Kiwis	Starfruits	Kiwis	Starfruits
Before	21 u	3 u	5 u	3 u
Change				+ 60
After	21 u	3 u	1x5 = 5 u	3x5 = 15 u

Number of kiwis in Box X remains unchanged.  Make the number of kiwis in Box X the same.  LCM of 5 and 1 is 5.

Number of starfruits put into Box X
= 15 u - 3 u
= 12 u

12 u = 60

1 u = 60 ÷ 12 = 5

Number of fruits in Box W
= 21 u + 3 u
= 24 u
= 24 x 5
= 120

Answer(s): 120