Aaron and Benga have a total of 976 trading cards. Benga has 7 times as many cards as Aaron. How many cards should Benga give Aaron so that Aaron will have 3 times as many cards as Benga?

Answer 1

Let A = number of Aaron's cards
Let B = number of Benga's cards
From the first statement, the total number of their cards is 976, so
A + B = 976
From the second statement,
B = 7A
Thus we can say,
A + 7A = 976
8A = 976
A = 122
B = 854

Now, let x = number of cards that Benga will give to Aaron.
According to the last condition,
122 + x = 3(854 - x)
Solving,
122 + x = 2562 - 3x
4x = 2440
x = 610 cards

Hope this helps :3

Answer 2

tanku