Dana had some mangoes and starfruits in 2 boxes. In Box Y, the number of mangoes to the number of starfruits was in the ratio of 5 : 9. In Box Z, there were thrice as many mangoes as starfruits. After Dana transferred ²₃ of the starfruits from Box Y to Box Z, the number of fruits left in Box Y was 184 and the ratio of the number of mangoes to the number of starfruits in Box B became 4 : 9. How many fruits were in Box Z in the end?

	Box Y		Box Z
	Mangoes	Starfruits	Mangoes	Starfruits
Before	5 u	9 u	3x4 =  12 p	1x4 = 4 p
Change		- 6 u		+ 6 u (+ 23 p)
After	5 u	3 u	4x3 = 12 p	9x3 = 27 p

Number of starfruits that Dana transferred from Box Y to Box Z
= ²₃ x 9 u
= 6 u

Total number of fruits in Box Y in the end
= 5 u + 3 u
= 8 u

8 u = 184
1 u = 184 ÷ 8 = 23

The number of mangoes in Box Z is the unchanged quantity.
LCM of 3 and 4 is 12.

Number of starfruits that Dana transferred from Box Y to Box Z
= 6 u
= 6 x 23
= 138

Increase in the number of starfruits that due to the transfer from Box Y to Box Z
= 27 p - 4 p
= 23 p

23 p = 6 u 
23 p = 138

1 p = 138 ÷ 23 = 6

Number of fruits in Box Z in the end
= 12 p + 27 p
= 39 p
= 39 x 6
= 234

Answer(s): 234