Lynn has 25% as many beads as Zara. Zara has 130% as many beads as Shannon. If Zara gives 30 beads to Shannon, both will then have an equal number of beads. Find the average number of beads the three of them have.

Lynn	Zara	Shannon
1x13	4x13
	13x4	10x4
13 u	52 u	40 u

25% = ²⁵₁₀₀ = ¹₄
130% = ¹³⁰₁₀₀= ¹³₁₀

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

	Zara	Shannon	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 Zara and Shannon have
= 52 u + 40 u
= 92 u

After Zara gives to Shannon, both of them will have the same number of beads. 

The total number of beads that Zara and Shannon have remains unchanged.

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

Number of beads that Zara gives to Shannon
= 52 u - 46 u
= 6 u

6 u = 30

1 u = 30 ÷ 6 = 5

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 5
= 175

Answer(s): 175