Cathy has 25% as many cards as Joelle. Joelle has 130% as many cards as Roshel. If Joelle gives 30 cards to Roshel, both will then have an equal number of cards. Find the average number of cards the three of them have.

Cathy	Joelle	Roshel
1x13	4x13
	13x4	10x4
13 u	52 u	40 u

25% = ²⁵₁₀₀ = ¹₄
130% = ¹³⁰₁₀₀= ¹³₁₀

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

	Joelle	Roshel	Total
Before	52 u	40 u	92 u
Change	- 6 u	+ 6 u
After	46 u	46 u	92 u

Total number of cards that Joelle and Roshel have
= 52 u + 40 u
= 92 u

After Joelle gives to Roshel, both of them will have the same number of cards. 

The total number of cards that Joelle and Roshel have remains unchanged.

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

Number of cards that Joelle gives to Roshel
= 52 u - 46 u
= 6 u

6 u = 30

1 u = 30 ÷ 6 = 5

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

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

Answer(s): 175