The ratio of the number of biscuits in Container E to the number of biscuits in Container F was 7 : 3. 10% of the biscuits in Container E and 0.7 of those in Container F were mocha. After transferring the biscuits between the 2 boxes, the number of strawberry biscuits in both boxes are the same. Likewise, the number of mocha biscuits in both boxes are the same. If a total of 272 biscuits were moved, how many more biscuits were there in Container E than Container F at first?

Container E		Container F
7 u		3 u
Mocha	Strawberry	Mocha	Strawberry
0.7 u	6.3 u	2.1 u	0.9 u
+ 0.7 u	- 2.7 u	- 0.7 u	+ 2.7 u
1.4 u	3.6 u	1.4 u	3.6 u

Number of mocha biscuits in Container E
= 10% x 7 u
= ¹⁰₁₀₀ x 7 u
= 0.7 u

Number of strawberry biscuits in Container E
= 7 u - 0.7 u
= 6.3 u

Number of mocha biscuits in Container F
= 0.7 x 3 u
= 2.1 u

Number of strawberry biscuits in Container F
= 3 u - 2.1 u
= 0.9 u

Number of mocha biscuits in each box in the end
= (0.7 u + 2.1 u) ÷ 2
= 2.8 u ÷ 2
= 1.4 u

Number of strawberry biscuits in each box in the end
= (6.3 u + 0.9 u) ÷ 2
= 7.2 u ÷ 2
= 3.6 u

Number of biscuits moved
= 0.7 u + 2.7 u
= 3.4 u

3.4 u = 272

1 u = 272 ÷ 3.4 = 80

Number of more biscuits in Container E than Container F at first
= 7 u - 3 u
= 4 u
= 4 x 80
= 320

Answer(s): 320