Emily has 25% as many coins as Rachel. Rachel has 130% as many coins as Xandra. If Rachel gives 54 coins to Xandra, both will then have an equal number of coins. Find the average number of coins the three of them have.

Emily	Rachel	Xandra
1x13	4x13
	13x4	10x4
13 u	52 u	40 u

25% = ²⁵₁₀₀ = ¹₄
130% = ¹³⁰₁₀₀= ¹³₁₀

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

	Rachel	Xandra	Total
Before	52 u	40 u	92 u
Change	- 6 u	+ 6 u
After	46 u	46 u	92 u

Total number of coins that Rachel and Xandra have
= 52 u + 40 u
= 92 u

After Rachel gives to Xandra, both of them will have the same number of coins. 

The total number of coins that Rachel and Xandra have remains unchanged.

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

Number of coins that Rachel gives to Xandra
= 52 u - 46 u
= 6 u

6 u = 54

1 u = 54 ÷ 6 = 9

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

Average number of coins that each of them have
= 105 u ÷ 3
= 35 u
= 35 x 9
= 315

Answer(s): 315