Nicole had some apples and kiwis in 2 crates. In Crate G, the number of apples to the number of kiwis was in the ratio of 5 : 8. In Crate H, there were twice as many apples as kiwis. After Nicole transferred ³₄ of the kiwis from Crate G to Crate H, the number of fruits left in Crate G was 147 and the ratio of the number of apples to the number of kiwis in Crate B became 5 : 6. How many fruits were in Crate H in the end?

	Crate G		Crate H
	Apples	Kiwis	Apples	Kiwis
Before	5 u	8 u	2x5 =  10 p	1x5 = 5 p
Change		- 6 u		+ 6 u (+ 7 p)
After	5 u	2 u	5x2 = 10 p	6x2 = 12 p

Number of kiwis that Nicole transferred from Crate G to Crate H
= ³₄ x 8 u
= 6 u

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

7 u = 147
1 u = 147 ÷ 7 = 21

The number of apples in Crate H is the unchanged quantity.
LCM of 2 and 5 is 10.

Number of kiwis that Nicole transferred from Crate G to Crate H
= 6 u
= 6 x 21
= 126

Increase in the number of kiwis that due to the transfer from Crate G to Crate H
= 12 p - 5 p
= 7 p

7 p = 6 u 
7 p = 126

1 p = 126 ÷ 7 = 18

Number of fruits in Crate H in the end
= 10 p + 12 p
= 22 p
= 22 x 18
= 396

Answer(s): 396