Raeann and Esther collected beads. Raeann gave 25% of her beads to Esther and as a result, Esther's beads increased by 30%. If Raeann had 108 beads left, find the number of beads Esther should give to Raeann in the end so that both had an equal number of beads.

	Raeann	Esther	Comparing the change in Esther's beads
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 beads that Esther had is repeated.  Make the increase in the number of beads that Esther had the same. LCM of 1 and 3 = 3

9 u = 108

1 u = 108 ÷ 9 = 12

Number of beads that Esther had more than Raeann in the end
= 13 u - 9 u
= 4 u

Number of beads that Esther should give to Raeann so that both had an equal number of beads in the end
= 4 u ÷ 2
= 2 u
= 2 x 12
= 24

Answer(s): 24