Pamela has 25% as many beads as Winnie. Winnie has 130% as many beads as Emily. If Winnie gives 72 beads to Emily, both will then have an equal number of beads. Find the average number of beads the three of them have.

Pamela	Winnie	Emily
1x13	4x13
	13x4	10x4
13 u	52 u	40 u

25% = ²⁵₁₀₀ = ¹₄
130% = ¹³⁰₁₀₀= ¹³₁₀

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

	Winnie	Emily	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 Winnie and Emily have
= 52 u + 40 u
= 92 u

After Winnie gives to Emily, both of them will have the same number of beads. 

The total number of beads that Winnie and Emily have remains unchanged.

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

Number of beads that Winnie gives to Emily
= 52 u - 46 u
= 6 u

6 u = 72

1 u = 72 ÷ 6 = 12

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 12
= 420

Answer(s): 420