Emily and Fanny collected marbles. Emily gave 25% of her marbles to Fanny and as a result, Fanny's marbles increased by 30%. If Emily had 63 marbles left, find the number of marbles Fanny should give to Emily in the end so that both had an equal number of marbles.

	Emily	Fanny	Comparing the change in Fanny's marbles
Before	4x3 = 12 u		10x1 = 10u
Change	- 1x3 = - 3 u	+ 1x3 = + 3 u	+ 3x1 = + 3 u
After	3x3 = 9 u		13x1 = 13 u

25% = ²⁵₁₀₀ = ¹₄
30% = ³⁰₁₀₀ = ³₁₀

The increase in the number of marbles that Fanny had is repeated.  Make the increase in the number of marbles that Fanny had the same. LCM of 1 and 3 = 3

9 u = 63

1 u = 63 ÷ 9 = 7

Number of marbles that Fanny had more than Emily in the end
= 13 u - 9 u
= 4 u

Number of marbles that Fanny should give to Emily so that both had an equal number of marbles in the end
= 4 u ÷ 2
= 2 u
= 2 x 7
= 14

Answer(s): 14