Betty has 30% as many erasers as Olivia. Olivia has 110% as many erasers as Anna. If Olivia gives 35 erasers to Anna, both will then have an equal number of erasers. Find the average number of erasers the three of them have.

Betty	Olivia	Anna
3x11	10x11
	11x10	10x10
33 u	110 u	100 u

30% = ³⁰₁₀₀ = ³₁₀
110% = ¹¹⁰₁₀₀= ¹¹₁₀

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

	Olivia	Anna	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 Olivia and Anna have
= 110 u + 100 u
= 210 u

After Olivia gives to Anna, both of them will have the same number of erasers. 

The total number of erasers that Olivia and Anna have remains unchanged.

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

Number of erasers that Olivia gives to Anna
= 110 u - 105 u
= 5 u

5 u = 35

1 u = 35 ÷ 5 = 7

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 7
= 567

Answer(s): 567