Victoria and Betty collected seashells. Victoria gave 50% of her seashells to Betty and as a result, Betty's seashells increased by 30%. If Victoria had 33 seashells left, find the number of seashells Betty should give to Victoria in the end so that both had an equal number of seashells.

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

3 u = 33

1 u = 33 ÷ 3 = 11

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

Number of seashells that Betty should give to Victoria so that both had an equal number of seashells in the end
= 10 u ÷ 2
= 5 u
= 5 x 11
= 55

Answer(s): 55