Answer:
400 Cards
Step-by-step explanation:
Before we find out how many cards Tammy needs to give to Quilian to have the same number of cards, we first need to find how many cards they currently have.
Let x = Quilian's Cards
Let 2x = Tammy's Cards
Now we can use the equation:
x + 2x = 2400
This represents both Tammy and Quilian's cards together.
Now we can solve for Quilian's cards first.
x + 2x = 2400
[tex]\dfrac{3x}{3}=\dfrac{2400}{3}[/tex]
[tex]x=800[/tex]
Now that we know that Quilian has 800 cards, we can safely assume that Tammy would have:
2x = 2(800) = 1600 Cards
Now that we know how many cards both of them have we simply need to subtract the number of cards that Tammy has until we reach 1/2 the amount of the total amount.
2400 / 2 = 1200
1600 - 1200 = 400 Cards
So Tammy would have to give Quilian 400 cards to make them have the same number of cards.
