Emily and Natalie collected seashells. Emily gave 25% of her seashells to Natalie and as a result, Natalie's seashells increased by 30%. If Emily had 45 seashells left, find the number of seashells Natalie should give to Emily in the end so that both had an equal number of seashells.

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

9 u = 45

1 u = 45 ÷ 9 = 5

Number of seashells that Natalie had more than Emily in the end
= 13 u - 9 u
= 4 u

Number of seashells that Natalie should give to Emily so that both had an equal number of seashells in the end
= 4 u ÷ 2
= 2 u
= 2 x 5
= 10

Answer(s): 10