Tammy had four boxes, Q, R, S and T which contained a total of 257 mangoes. She transferred 14 mangoes from Box Q to Box R, 40 mangoes from Box R to Box S and 80 mangoes from Box S to Box T. The ratio of the number of mangoes in Box Q to Box R to Box S changed from  3 : 7 : 12 to 1 : 4 : 8. How many mangoes were in Box T at first?

	Make p the same (1)x4 = (3)	Q (1)	R (2)	S	T
Before	12 u	3 u	7 u	12 u	?
Change 1	- 56	- 14	+ 14
Change 2			- 40	+ 40
Change 3				- 80	+ 80
After	4 p	1 p	4 p	8 p	?

3 u - 14 = 1 p --- (1)

7 u + 14 - 40 = 4 p
7 u - 26 = 4 p --- (2)

(1) _{x 4}
12 u - 56 = 4 p --- (3)

Make p the same.

(3) = (2)
12 u - 56 = 7 u - 26
12 u - 7 u = 56 - 26
5 u = 30

1 u = 30 ÷ 5 = 6

Total number of mangoes in Box Q, Box R and Box S
= 3 u + 7 u + 12 u
= 22 u

Total number of mangoes in Box T at first
= 257 - 22 u
= 257 - 22 x 6
= 257 - 132
= 125

Answer(s): 125