Opal has 25% as many coins as Gem. Gem has 130% as many coins as Olivia. If Gem gives 36 coins to Olivia, both will then have an equal number of coins. Find the average number of coins the three of them have.

Opal	Gem	Olivia
1x13	4x13
	13x4	10x4
13 u	52 u	40 u

25% = ²⁵₁₀₀ = ¹₄
130% = ¹³⁰₁₀₀= ¹³₁₀

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

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

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

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

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

Number of coins that Gem gives to Olivia
= 52 u - 46 u
= 6 u

6 u = 36

1 u = 36 ÷ 6 = 6

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 6
= 210

Answer(s): 210