Ivory had some mangosteens and starfruits in 2 crates. In Crate Y, the number of mangosteens to the number of starfruits was in the ratio of 5 : 8. In Crate Z, there were twice as many mangosteens as starfruits. After Ivory transferred ³₄ of the starfruits from Crate Y to Crate Z, the number of fruits left in Crate Y was 154 and the ratio of the number of mangosteens to the number of starfruits in Crate B became 7 : 9. How many fruits were in Crate Z in the end?

	Crate Y		Crate Z
	Mangosteens	Starfruits	Mangosteens	Starfruits
Before	5 u	8 u	2x7 =  14 p	1x7 = 7 p
Change		- 6 u		+ 6 u (+ 11 p)
After	5 u	2 u	7x2 = 14 p	9x2 = 18 p

Number of starfruits that Ivory transferred from Crate Y to Crate Z
= ³₄ x 8 u
= 6 u

Total number of fruits in Crate Y in the end
= 5 u + 2 u
= 7 u

7 u = 154
1 u = 154 ÷ 7 = 22

The number of mangosteens in Crate Z is the unchanged quantity.
LCM of 2 and 7 is 14.

Number of starfruits that Ivory transferred from Crate Y to Crate Z
= 6 u
= 6 x 22
= 132

Increase in the number of starfruits that due to the transfer from Crate Y to Crate Z
= 18 p - 7 p
= 11 p

11 p = 6 u 
11 p = 132

1 p = 132 ÷ 11 = 12

Number of fruits in Crate Z in the end
= 14 p + 18 p
= 32 p
= 32 x 12
= 384

Answer(s): 384