There were some starfruits and mangosteens in Box W and Box X. In Box W, the ratio of the starfruits to the number of mangosteens was 6 : 1. In Box X, the ratio of the number of starfruits to the number of mangosteens was 5 : 2. There were 2 times as many fruits in Box W as in Box X. After another 40 mangosteens were put into Box X, the ratio of the number of starfruits to the number of mangosteens in Box X became 1 : 2. How many fruits were there in Box W?

Box W		Box X
2x7 = 14 u		1x7 = 7 u
Starfruits	Mangosteens	Starfruits	Mangosteens
6x2	1x2	5	2
12 u	2 u	5 u	2 u

The total number of fruits in Box W is repeated.  Make the total number of fruits in Box W the same.  LCM of 2 and 7 is 14.

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 7 is 7.

	Box W		Box X
	Starfruits	Mangosteens	Starfruits	Mangosteens
Before	12 u	2 u	5 u	2 u
Change				+ 40
After	12 u	2 u	1x5 = 5 u	2x5 = 10 u

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

Number of mangosteens put into Box X
= 10 u - 2 u
= 8 u

8 u = 40

1 u = 40 ÷ 8 = 5

Number of fruits in Box W
= 12 u + 2 u
= 14 u
= 14 x 5
= 70

Answer(s): 70