There were some starfruits and chikoos in Box T and Box U. In Box T, the ratio of the starfruits to the number of chikoos was 11 : 1. In Box U, the ratio of the number of starfruits to the number of chikoos was 5 : 3. There were 3 times as many fruits in Box T as in Box U. After another 170 chikoos were put into Box U, the ratio of the number of starfruits to the number of chikoos in Box U became 1 : 4. How many fruits were there in Box T?

Box T		Box U
3x8 = 24 u		1x8 = 8 u
Starfruits	Chikoos	Starfruits	Chikoos
11x2	1x2	5	3
22 u	2 u	5 u	3 u

The total number of fruits in Box T is repeated.  Make the total number of fruits in Box T the same.  LCM of 3 and 12 is 24.

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

	Box T		Box U
	Starfruits	Chikoos	Starfruits	Chikoos
Before	22 u	2 u	5 u	3 u
Change				+ 170
After	22 u	2 u	1x5 = 5 u	4x5 = 20 u

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

Number of chikoos put into Box U
= 20 u - 3 u
= 17 u

17 u = 170

1 u = 170 ÷ 17 = 10

Number of fruits in Box T
= 22 u + 2 u
= 24 u
= 24 x 10
= 240

Answer(s): 240