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

	Gwen	Nicole	Comparing the change in Nicole'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 Nicole had is repeated.  Make the increase in the number of seashells that Nicole had the same. LCM of 1 and 3 = 3

3 u = 36

1 u = 36 ÷ 3 = 12

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

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

Answer(s): 60