Xuan has 30% as many stickers as Elyse. Elyse has 110% as many stickers as Sarah. If Elyse gives 60 stickers to Sarah, both will then have an equal number of stickers. Find the average number of stickers the three of them have.

Xuan	Elyse	Sarah
3x11	10x11
	11x10	10x10
33 u	110 u	100 u

30% = ³⁰₁₀₀ = ³₁₀
110% = ¹¹⁰₁₀₀= ¹¹₁₀

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

	Elyse	Sarah	Total
Before	110 u	100 u	210 u
Change	- 5 u	+ 5 u
After	105 u	105 u	210 u

Total number of stickers that Elyse and Sarah have
= 110 u + 100 u
= 210 u

After Elyse gives to Sarah, both of them will have the same number of stickers. 

The total number of stickers that Elyse and Sarah have remains unchanged.

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

Number of stickers that Elyse gives to Sarah
= 110 u - 105 u
= 5 u

5 u = 60

1 u = 60 ÷ 5 = 12

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

Average number of stickers that each of them have
= 243 u ÷ 3
= 81 u
= 81 x 12
= 972

Answer(s): 972