Fiona has 25% as many cards as Dana. Dana has 130% as many cards as Shannon. If Dana gives 18 cards to Shannon, both will then have an equal number of cards. Find the average number of cards the three of them have.

Fiona	Dana	Shannon
1x13	4x13
	13x4	10x4
13 u	52 u	40 u

25% = ²⁵₁₀₀ = ¹₄
130% = ¹³⁰₁₀₀= ¹³₁₀

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

	Dana	Shannon	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 Dana and Shannon have
= 52 u + 40 u
= 92 u

After Dana gives to Shannon, both of them will have the same number of cards. 

The total number of cards that Dana and Shannon have remains unchanged.

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

Number of cards that Dana gives to Shannon
= 52 u - 46 u
= 6 u

6 u = 18

1 u = 18 ÷ 6 = 3

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 3
= 105

Answer(s): 105