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

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

9 u = 45

1 u = 45 ÷ 9 = 5

Number of stickers that Fanny had more than Gwen in the end
= 13 u - 9 u
= 4 u

Number of stickers that Fanny should give to Gwen so that both had an equal number of stickers in the end
= 4 u ÷ 2
= 2 u
= 2 x 5
= 10

Answer(s): 10