The ratio of the number of biscuits in Container H to the number of biscuits in Container J was 5 : 3. 40% of the biscuits in Container H and 0.8 of those in Container J were chocolate. After transferring the biscuits between the 2 boxes, the number of butter cream biscuits in both boxes are the same. Likewise, the number of chocolate biscuits in both boxes are the same. If a total of 217 biscuits were moved, how many more biscuits were there in Container H than Container J at first?

Container H		Container J
5 u		3 u
Chocolate	Butter Cream	Chocolate	Butter Cream
2 u	3 u	2.4 u	0.6 u
+ 0.2 u	- 1.2 u	- 0.2 u	+ 1.2 u
2.2 u	1.8 u	2.2 u	1.8 u

Number of chocolate biscuits in Container H
= 40% x 5 u
= ⁴⁰₁₀₀ x 5 u
= 2 u

Number of butter cream biscuits in Container H
= 5 u - 2 u
= 3 u

Number of chocolate biscuits in Container J
= 0.8 x 3 u
= 2.4 u

Number of butter cream biscuits in Container J
= 3 u - 2.4 u
= 0.6 u

Number of chocolate biscuits in each box in the end
= (2 u + 2.4 u) ÷ 2
= 4.4 u ÷ 2
= 2.2 u

Number of butter cream biscuits in each box in the end
= (3 u + 0.6 u) ÷ 2
= 3.6 u ÷ 2
= 1.8 u

Number of biscuits moved
= 0.2 u + 1.2 u
= 1.4 u

1.4 u = 217

1 u = 217 ÷ 1.4 = 155

Number of more biscuits in Container H than Container J at first
= 5 u - 3 u
= 2 u
= 2 x 155
= 310

Answer(s): 310