Jade has 25% as many cards as Natalie. Natalie has 130% as many cards as Fanny. If Natalie gives 54 cards to Fanny, both will then have an equal number of cards. Find the average number of cards the three of them have.

Jade	Natalie	Fanny
1x13	4x13
	13x4	10x4
13 u	52 u	40 u

25% = ²⁵₁₀₀ = ¹₄
130% = ¹³⁰₁₀₀= ¹³₁₀

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

	Natalie	Fanny	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 Natalie and Fanny have
= 52 u + 40 u
= 92 u

After Natalie gives to Fanny, both of them will have the same number of cards. 

The total number of cards that Natalie and Fanny have remains unchanged.

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

Number of cards that Natalie gives to Fanny
= 52 u - 46 u
= 6 u

6 u = 54

1 u = 54 ÷ 6 = 9

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 9
= 315

Answer(s): 315