Roshel and Xylia collected seashells. Roshel gave 50% of her seashells to Xylia and as a result, Xylia's seashells increased by 30%. If Roshel had 36 seashells left, find the number of seashells Xylia should give to Roshel in the end so that both had an equal number of seashells.

	Roshel	Xylia	Comparing the change in Xylia's seashells
Before	2x3 = 6 u		10x1 = 10u
Change	- 1x3 = - 3 u	+ 1x3 = + 3 u	+ 3x1 = + 3 u
After	1x3 = 3 u		13x1 = 13 u

50% = ⁵⁰₁₀₀ = ¹₂
30% = ³⁰₁₀₀ = ³₁₀

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

3 u = 36

1 u = 36 ÷ 3 = 12

Number of seashells that Xylia had more than Roshel in the end
= 13 u - 3 u
= 10 u

Number of seashells that Xylia should give to Roshel so that both had an equal number of seashells in the end
= 10 u ÷ 2
= 5 u
= 5 x 12
= 60

Answer(s): 60