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

	Gillian	Hazel	Comparing the change in Hazel'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 Hazel had is repeated.  Make the increase in the number of marbles that Hazel had the same. LCM of 1 and 3 = 3

9 u = 63

1 u = 63 ÷ 9 = 7

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

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

Answer(s): 14