Evelyn has $524.96 in her bank account. If the amount drops below $500, she will have to pay a fee. If she took out $32.50, how much does she need to put back in her account to avoid paying a fee? Write and solve an inequality that would be used for the least amount of money she needs

1 answer

To solve this problem, we can start by figuring out how much money Evelyn has left after she withdraws $32.50 from her account.

1. Begin by subtracting the withdrawal amount from the current balance:
\[ 524.96 - 32.50 = 492.46 \]

After withdrawing $32.50, Evelyn has $492.46 left in her account. She needs to get her balance back up to at least $500 to avoid paying a fee. Let \( x \) represent the amount of money she needs to deposit to achieve this.

2. Set up the inequality to find the minimum deposit:
\[ 492.46 + x \geq 500 \]

3. Solve for \( x \):
\[ x \geq 500 - 492.46 \]
\[ x \geq 7.54 \]

So, the least amount of money Evelyn needs to put back into her account to avoid paying a fee is $7.54.