Question

Qiulian and Tammy have 2400 cards.Tammy has twice as many cards as Quilian.How many cards must Tammy give Quilian so that they have the same number of cards?

Answer 1

Tammy needs to give 400 cards to Qiulian for both of them to have the same number of cards, which would result in each having 1200 cards.

If Qiulian and Tammy have a total of 2400 cards, and Tammy has twice as many cards as Qiulian, let's set up equations to represent this:

Let Q represent the number of cards Qiulian has.

Let T represent the number of cards Tammy has.

From the information given, we have two equations:

Q+T=2400 (The total number of cards they have together is 2400.)

T=2Q (Tammy has twice as many cards as Qiulian.)

Substitute equation 2 into equation 1 to solve for Qiulian's number of cards:

Q+2Q=2400

3Q=2400

Q=800

So, Qiulian has 800 cards. If Tammy has twice as many cards, she has

2×800=1600 cards.

To find how many cards Tammy must give to Qiulian so they have the same number:

For them to have an equal number of cards, the difference between Tammy's and Qiulian's cards needs to be halved. The difference is

1600−800=800 cards. Half of this difference is

800÷2=400 cards.

So, Tammy needs to give 400 cards to Qiulian for both of them to have the same number of cards, which would result in each having 1200 cards.

Answer 2

400 Cards

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

`(3x)/(3)=(2400)/(3)`

`x=800`

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.