The ratio of the number of biscuits in Container P to the number of biscuits in Container Q was 7 : 3. 30% of the biscuits in Container P and 0.9 of those in Container Q were mango. After transferring the biscuits between the 2 boxes, the number of peach biscuits in both boxes are the same. Likewise, the number of mango biscuits in both boxes are the same. If a total of 234 biscuits were moved, how many more biscuits were there in Container P than Container Q at first?

Container P		Container Q
7 u		3 u
Mango	Peach	Mango	Peach
2.1 u	4.9 u	2.7 u	0.3 u
+ 0.3 u	- 2.3 u	- 0.3 u	+ 2.3 u
2.4 u	2.6 u	2.4 u	2.6 u

Number of mango biscuits in Container P
= 30% x 7 u
= ³⁰₁₀₀ x 7 u
= 2.1 u

Number of peach biscuits in Container P
= 7 u - 2.1 u
= 4.9 u

Number of mango biscuits in Container Q
= 0.9 x 3 u
= 2.7 u

Number of peach biscuits in Container Q
= 3 u - 2.7 u
= 0.3 u

Number of mango biscuits in each box in the end
= (2.1 u + 2.7 u) ÷ 2
= 4.8 u ÷ 2
= 2.4 u

Number of peach biscuits in each box in the end
= (4.9 u + 0.3 u) ÷ 2
= 5.2 u ÷ 2
= 2.6 u

Number of biscuits moved
= 0.3 u + 2.3 u
= 2.6 u

2.6 u = 234

1 u = 234 ÷ 2.6 = 90

Number of more biscuits in Container P than Container Q at first
= 7 u - 3 u
= 4 u
= 4 x 90
= 360

Answer(s): 360