Shannon and Jean collected marbles. Shannon gave 25% of her marbles to Jean and as a result, Jean's marbles increased by 30%. If Shannon had 36 marbles left, find the number of marbles Jean should give to Shannon in the end so that both had an equal number of marbles.

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

9 u = 36

1 u = 36 ÷ 9 = 4

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

Number of marbles that Jean should give to Shannon so that both had an equal number of marbles in the end
= 4 u ÷ 2
= 2 u
= 2 x 4
= 8

Answer(s): 8