Vanessa has 25% as many marbles as Diana. Diana has 130% as many marbles as Sabrina. If Diana gives 54 marbles to Sabrina, both will then have an equal number of marbles. Find the average number of marbles the three of them have.

Vanessa	Diana	Sabrina
1x13	4x13
	13x4	10x4
13 u	52 u	40 u

25% = ²⁵₁₀₀ = ¹₄
130% = ¹³⁰₁₀₀= ¹³₁₀

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

	Diana	Sabrina	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 Diana and Sabrina have
= 52 u + 40 u
= 92 u

After Diana gives to Sabrina, both of them will have the same number of marbles. 

The total number of marbles that Diana and Sabrina have remains unchanged.

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

Number of marbles that Diana gives to Sabrina
= 52 u - 46 u
= 6 u

6 u = 54

1 u = 54 ÷ 6 = 9

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 9
= 315

Answer(s): 315