Roshel has 30% as many erasers as Winnie. Winnie has 110% as many erasers as Vanessa. If Winnie gives 10 erasers to Vanessa, both will then have an equal number of erasers. Find the average number of erasers the three of them have.

Roshel	Winnie	Vanessa
3x11	10x11
	11x10	10x10
33 u	110 u	100 u

30% = ³⁰₁₀₀ = ³₁₀
110% = ¹¹⁰₁₀₀= ¹¹₁₀

The number of erasers that Roshel has is repeated.  Make the number of erasers that Roshel has the same. LCM of 10 and 11 is 110.

	Winnie	Vanessa	Total
Before	110 u	100 u	210 u
Change	- 5 u	+ 5 u
After	105 u	105 u	210 u

Total number of erasers that Winnie and Vanessa have
= 110 u + 100 u
= 210 u

After Winnie gives to Vanessa, both of them will have the same number of erasers. 

The total number of erasers that Winnie and Vanessa have remains unchanged.

Number of erasers that each of them will have
= 210 u ÷ 2
= 105 u

Number of erasers that Winnie gives to Vanessa
= 110 u - 105 u
= 5 u

5 u = 10

1 u = 10 ÷ 5 = 2

Total number of erasers that three of them have
= 210 u + 33 u
= 243 u

Average number of erasers that each of them have
= 243 u ÷ 3
= 81 u
= 81 x 2
= 162

Answer(s): 162