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

	Diana	Erika	Comparing the change in Erika's stickers
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 stickers that Erika had is repeated.  Make the increase in the number of stickers that Erika had the same. LCM of 1 and 3 = 3

3 u = 33

1 u = 33 ÷ 3 = 11

Number of stickers that Erika had more than Diana in the end
= 13 u - 3 u
= 10 u

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

Answer(s): 55