Raeann and Yen collected marbles. Raeann gave 60% of her marbles to Yen and as a result, Yen's marbles increased by 20%. If Raeann had 20 marbles left, find the number of marbles Yen should give to Raeann in the end so that both had an equal number of marbles.

	Raeann	Yen	Comparing the change in Yen's marbles
Before	5x1 = 5 u		5x3 = 15u
Change	- 3x1 = - 3 u	+ 3x1 = + 3 u	+ 1x3 = + 3 u
After	2x1 = 2 u		6x3 = 18 u

60% = ⁶⁰₁₀₀ = ³₅
20% = ²⁰₁₀₀ = ¹₅

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

2 u = 20

1 u = 20 ÷ 2 = 10

Number of marbles that Yen had more than Raeann in the end
= 18 u - 2 u
= 16 u

Number of marbles that Yen should give to Raeann so that both had an equal number of marbles in the end
= 16 u ÷ 2
= 8 u
= 8 x 10
= 80

Answer(s): 80