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

Shiyun	Zara	Gem
1x13	4x13
	13x4	10x4
13 u	52 u	40 u

25% = ²⁵₁₀₀ = ¹₄
130% = ¹³⁰₁₀₀= ¹³₁₀

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

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

After Zara gives to Gem, both of them will have the same number of coins. 

The total number of coins that Zara and Gem have remains unchanged.

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

Number of coins that Zara gives to Gem
= 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