Jen has 25% as many cards as Gillian. Gillian has 130% as many cards as Yoko. If Gillian gives 24 cards to Yoko, both will then have an equal number of cards. Find the average number of cards the three of them have.

Jen	Gillian	Yoko
1x13	4x13
	13x4	10x4
13 u	52 u	40 u

25% = ²⁵₁₀₀ = ¹₄
130% = ¹³⁰₁₀₀= ¹³₁₀

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

	Gillian	Yoko	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 Gillian and Yoko have
= 52 u + 40 u
= 92 u

After Gillian gives to Yoko, both of them will have the same number of cards. 

The total number of cards that Gillian and Yoko have remains unchanged.

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

Number of cards that Gillian gives to Yoko
= 52 u - 46 u
= 6 u

6 u = 24

1 u = 24 ÷ 6 = 4

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 4
= 140

Answer(s): 140