Gem has 25% as many beads as Winnie. Winnie has 130% as many beads as Xuan. If Winnie gives 42 beads to Xuan, both will then have an equal number of beads. Find the average number of beads the three of them have.

Gem	Winnie	Xuan
1x13	4x13
	13x4	10x4
13 u	52 u	40 u

25% = ²⁵₁₀₀ = ¹₄
130% = ¹³⁰₁₀₀= ¹³₁₀

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

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

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

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

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

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

6 u = 42

1 u = 42 ÷ 6 = 7

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 7
= 245

Answer(s): 245