Linda and Fanny collected erasers. Linda gave 30% of her erasers to Fanny and as a result, Fanny's erasers increased by 10%. If Linda had 28 erasers left, find the number of erasers Fanny should give to Linda in the end so that both had an equal number of erasers.

	Linda	Fanny	Comparing the change in Fanny's erasers
Before	10x1 = 10 u		10x3 = 30u
Change	- 3x1 = - 3 u	+ 3x1 = + 3 u	+ 1x3 = + 3 u
After	7x1 = 7 u		11x3 = 33 u

30% = ³⁰₁₀₀ = ³₁₀
10% = ¹⁰₁₀₀ = ¹₁₀

The increase in the number of erasers that Fanny had is repeated.  Make the increase in the number of erasers that Fanny had the same. LCM of 3 and 1 = 3

7 u = 28

1 u = 28 ÷ 7 = 4

Number of erasers that Fanny had more than Linda in the end
= 33 u - 7 u
= 26 u

Number of erasers that Fanny should give to Linda so that both had an equal number of erasers in the end
= 26 u ÷ 2
= 13 u
= 13 x 4
= 52

Answer(s): 52