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

Hilda	Sarah	Rachel
1x13	4x13
	13x4	10x4
13 u	52 u	40 u

25% = ²⁵₁₀₀ = ¹₄
130% = ¹³⁰₁₀₀= ¹³₁₀

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

	Sarah	Rachel	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 Sarah and Rachel have
= 52 u + 40 u
= 92 u

After Sarah gives to Rachel, both of them will have the same number of beads. 

The total number of beads that Sarah and Rachel have remains unchanged.

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

Number of beads that Sarah gives to Rachel
= 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