Raeann has 25% as many marbles as Linda. Linda has 130% as many marbles as Yoko. If Linda gives 30 marbles to Yoko, both will then have an equal number of marbles. Find the average number of marbles the three of them have.

Raeann	Linda	Yoko
1x13	4x13
	13x4	10x4
13 u	52 u	40 u

25% = ²⁵₁₀₀ = ¹₄
130% = ¹³⁰₁₀₀= ¹³₁₀

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

	Linda	Yoko	Total
Before	52 u	40 u	92 u
Change	- 6 u	+ 6 u
After	46 u	46 u	92 u

Total number of marbles that Linda and Yoko have
= 52 u + 40 u
= 92 u

After Linda gives to Yoko, both of them will have the same number of marbles. 

The total number of marbles that Linda and Yoko have remains unchanged.

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

Number of marbles that Linda gives to Yoko
= 52 u - 46 u
= 6 u

6 u = 30

1 u = 30 ÷ 6 = 5

Total number of marbles that three of them have
= 92 u + 13 u
= 105 u

Average number of marbles that each of them have
= 105 u ÷ 3
= 35 u
= 35 x 5
= 175

Answer(s): 175