Jade has 30% as many cards as Nicole. Nicole has 140% as many cards as Xandra. If Nicole gives 80 cards to Xandra, both will then have an equal number of cards. Find the average number of cards the three of them have.

Jade	Nicole	Xandra
3x7	10x7
	7x10	5x10
21 u	70 u	50 u

30% = ³⁰₁₀₀ = ³₁₀
140% = ¹⁴⁰₁₀₀= ⁷₅

The number of cards that Jade has is repeated.  Make the number of cards that Jade has the same. LCM of 10 and 7 is 70.

	Nicole	Xandra	Total
Before	70 u	50 u	120 u
Change	- 10 u	+ 10 u
After	60 u	60 u	120 u

Total number of cards that Nicole and Xandra have
= 70 u + 50 u
= 120 u

After Nicole gives to Xandra, both of them will have the same number of cards. 

The total number of cards that Nicole and Xandra have remains unchanged.

Number of cards that each of them will have
= 120 u ÷ 2
= 60 u

Number of cards that Nicole gives to Xandra
= 70 u - 60 u
= 10 u

10 u = 80

1 u = 80 ÷ 10 = 8

Total number of cards that three of them have
= 120 u + 21 u
= 141 u

Average number of cards that each of them have
= 141 u ÷ 3
= 47 u
= 47 x 8
= 376

Answer(s): 376