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

Marion	Nicole	Zara
1x13	4x13
	13x4	10x4
13 u	52 u	40 u

25% = ²⁵₁₀₀ = ¹₄
130% = ¹³⁰₁₀₀= ¹³₁₀

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

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

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

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

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

Number of beads that Nicole gives to Zara
= 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