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

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

3 u = 30

1 u = 30 ÷ 3 = 10

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

Number of seashells that Victoria should give to Emily so that both had an equal number of seashells in the end
= 10 u ÷ 2
= 5 u
= 5 x 10
= 50

Answer(s): 50