Gwen has 25% as many beads as Winnie. Winnie has 130% as many beads as Jane. If Winnie gives 12 beads to Jane, both will then have an equal number of beads. Find the average number of beads the three of them have.

Gwen	Winnie	Jane
1x13	4x13
	13x4	10x4
13 u	52 u	40 u

25% = ²⁵₁₀₀ = ¹₄
130% = ¹³⁰₁₀₀= ¹³₁₀

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

	Winnie	Jane	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 Jane have
= 52 u + 40 u
= 92 u

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

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

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

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

6 u = 12

1 u = 12 ÷ 6 = 2

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 2
= 70

Answer(s): 70