Emma has 30% as many beads as Tammy. Tammy has 110% as many beads as Tiffany. If Tammy gives 40 beads to Tiffany, both will then have an equal number of beads. Find the average number of beads the three of them have.

Emma	Tammy	Tiffany
3x11	10x11
	11x10	10x10
33 u	110 u	100 u

30% = ³⁰₁₀₀ = ³₁₀
110% = ¹¹⁰₁₀₀= ¹¹₁₀

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

	Tammy	Tiffany	Total
Before	110 u	100 u	210 u
Change	- 5 u	+ 5 u
After	105 u	105 u	210 u

Total number of beads that Tammy and Tiffany have
= 110 u + 100 u
= 210 u

After Tammy gives to Tiffany, both of them will have the same number of beads. 

The total number of beads that Tammy and Tiffany have remains unchanged.

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

Number of beads that Tammy gives to Tiffany
= 110 u - 105 u
= 5 u

5 u = 40

1 u = 40 ÷ 5 = 8

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

Average number of beads that each of them have
= 243 u ÷ 3
= 81 u
= 81 x 8
= 648

Answer(s): 648