Question

You have $500 in Account A and $300 in Account B. You want to transfer some money from Account A to Account B so that you have the same amount in both accounts. How much money should you transfer?(1 point)
Responses

$200
$200

$400
$400

$100
$100

$800

Answer 1

To determine how much money you should transfer from Account A to Account B to have the same amount in both accounts, you can set up the following equations:

1. Let \( x \) be the amount of money transferred from Account A to Account B.
2. After the transfer, Account A will have \( 500 - x \), and Account B will have \( 300 + x \).
3. To have the same amount in both accounts, set the two amounts equal:

\[
500 - x = 300 + x
\]

Now, solve for \( x \):

1. Add \( x \) to both sides:

\[
500 = 300 + 2x
\]

2. Subtract 300 from both sides:

\[
200 = 2x
\]

3. Divide both sides by 2:

\[
x = 100
\]

Therefore, you should transfer **$100** from Account A to Account B. This will leave you with $400 in Account A and $400 in Account B.