Nora had some passion fruits and kiwis in 2 boxes. In Box Q, the number of passion fruits to the number of kiwis was in the ratio of 3 : 8. In Box R, there were twice as many passion fruits as kiwis. After Nora transferred ³₄ of the kiwis from Box Q to Box R, the number of fruits left in Box Q was 150 and the ratio of the number of passion fruits to the number of kiwis in Box B became 1 : 8. How many fruits were in Box R in the end?

	Box Q		Box R
	Passion Fruits	Kiwis	Passion Fruits	Kiwis
Before	3 u	8 u	2x1 =  2 p	1x1 = 1 p
Change		- 6 u		+ 6 u (+ 15 p)
After	3 u	2 u	1x2 = 2 p	8x2 = 16 p

Number of kiwis that Nora transferred from Box Q to Box R
= ³₄ x 8 u
= 6 u

Total number of fruits in Box Q in the end
= 3 u + 2 u
= 5 u

5 u = 150
1 u = 150 ÷ 5 = 30

The number of passion fruits in Box R is the unchanged quantity.
LCM of 2 and 1 is 2.

Number of kiwis that Nora transferred from Box Q to Box R
= 6 u
= 6 x 30
= 180

Increase in the number of kiwis that due to the transfer from Box Q to Box R
= 16 p - 1 p
= 15 p

15 p = 6 u 
15 p = 180

1 p = 180 ÷ 15 = 12

Number of fruits in Box R in the end
= 2 p + 16 p
= 18 p
= 18 x 12
= 216

Answer(s): 216