Question

You triple your account balance by making a deposit. Then you withdraw $28.50 from your bank account. Now your account is overdrawn by $10.50. Write and solve an equation to find your original account balance before you made the deposit.

Answer 1

Answer:

Your original account balance before you made the deposit is $6

Step-by-step explanation:

Let x = your original account balance.

You triple your account balance by making a deposit. This means

New account balance = 3 × x = 3x

Then you withdraw $28.50 from your bank account. This means that you have $(3x - 28.5) left.

Now your account is overdrawn by $10.50. This means you have withdrawn beyond what you have in your account. Your new account balance is -$10.5. Therefore,

3x - 28.5 = - 10.5

3x = -10.5 + 28.5 = 18

x = 18/3 = 6

Your original account balance before you made the deposit is $6