Ivory and Kimberly collected marbles. Ivory gave 30% of her marbles to Kimberly and as a result, Kimberly's marbles increased by 25%. If Ivory had 49 marbles left, find the number of marbles Kimberly should give to Ivory in the end so that both had an equal number of marbles.

	Ivory	Kimberly	Comparing the change in Kimberly's marbles
Before	10x1 = 10 u		4x3 = 12u
Change	- 3x1 = - 3 u	+ 3x1 = + 3 u	+ 1x3 = + 3 u
After	7x1 = 7 u		5x3 = 15 u

30% = ³⁰₁₀₀ = ³₁₀
25% = ²⁵₁₀₀ = ¹₄

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

7 u = 49

1 u = 49 ÷ 7 = 7

Number of marbles that Kimberly had more than Ivory in the end
= 15 u - 7 u
= 8 u

Number of marbles that Kimberly should give to Ivory so that both had an equal number of marbles in the end
= 8 u ÷ 2
= 4 u
= 4 x 7
= 28

Answer(s): 28