Question

Tony has $727.29 in his checking account. He must maintain a $500 balance to avoid a fee. He wrote a check for $248.50 today. Write and solve an inequality to solve for the least amount of money he needs to deposit to avoid a fee.

Answer 1

727.29 - 248.50 = 478.79

500-478.79 = 21.21

$21.21 is the least amount of money he needs to deposit

Answer 2

She needs to deposit at least $21.21 in her account to avoid a fee.

Explanation:

Consider the provided information.

Tony has $727.29 in his checking account and he wrote a check for $248.50 today.

Let x be the amount that she needs to deposit.

He must maintain a $500 balance to avoid a fee. That means the balance can be greater than or equal to $500.

The inequality used for greater than or equal is ≥

As he wrote a check which indicates the deduction from account so use a negative sign and to deposit use a positive sign,

Thus the required inequality is:

`727.29-248.50+x\geq 500`

Now add the like terms:

`727.29-248.50+x\geq 500`

`478.79+x\geq 500`

Subtract 478.79 from both sides.

`478.79-478.79+x\geq 500-478.79`

`x\geq 21.21`

Hence, she needs to deposit at least $21.21 in her account to avoid a fee.