Elyse has 25% as many cards as Marion. Marion has 130% as many cards as Penelope. If Marion gives 42 cards to Penelope, both will then have an equal number of cards. Find the average number of cards the three of them have.

Elyse	Marion	Penelope
1x13	4x13
	13x4	10x4
13 u	52 u	40 u

25% = ²⁵₁₀₀ = ¹₄
130% = ¹³⁰₁₀₀= ¹³₁₀

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

	Marion	Penelope	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 Marion and Penelope have
= 52 u + 40 u
= 92 u

After Marion gives to Penelope, both of them will have the same number of cards. 

The total number of cards that Marion and Penelope have remains unchanged.

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

Number of cards that Marion gives to Penelope
= 52 u - 46 u
= 6 u

6 u = 42

1 u = 42 ÷ 6 = 7

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 7
= 245

Answer(s): 245