Roshel and Victoria collected erasers. Roshel gave 30% of her erasers to Victoria and as a result, Victoria's erasers increased by 10%. If Roshel had 70 erasers left, find the number of erasers Victoria should give to Roshel in the end so that both had an equal number of erasers.

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

7 u = 70

1 u = 70 ÷ 7 = 10

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

Number of erasers that Victoria should give to Roshel so that both had an equal number of erasers in the end
= 26 u ÷ 2
= 13 u
= 13 x 10
= 130

Answer(s): 130