Gillian has 25% as many beads as Roshel. Roshel has 130% as many beads as Mary. If Roshel gives 24 beads to Mary, both will then have an equal number of beads. Find the average number of beads the three of them have.

Gillian	Roshel	Mary
1x13	4x13
	13x4	10x4
13 u	52 u	40 u

25% = ²⁵₁₀₀ = ¹₄
130% = ¹³⁰₁₀₀= ¹³₁₀

The number of beads that Gillian has is repeated.  Make the number of beads that Gillian has the same. LCM of 4 and 13 is 52.

	Roshel	Mary	Total
Before	52 u	40 u	92 u
Change	- 6 u	+ 6 u
After	46 u	46 u	92 u

Total number of beads that Roshel and Mary have
= 52 u + 40 u
= 92 u

After Roshel gives to Mary, both of them will have the same number of beads. 

The total number of beads that Roshel and Mary have remains unchanged.

Number of beads that each of them will have
= 92 u ÷ 2
= 46 u

Number of beads that Roshel gives to Mary
= 52 u - 46 u
= 6 u

6 u = 24

1 u = 24 ÷ 6 = 4

Total number of beads that three of them have
= 92 u + 13 u
= 105 u

Average number of beads that each of them have
= 105 u ÷ 3
= 35 u
= 35 x 4
= 140

Answer(s): 140