Question

Malcolm has $638.54 in his checking account. He must maintain a $500 balance to avoid a fee. He wrote a check for $159.50 today. Write and solve an inequality to solve for the least amount of money he needs to deposit to avoid a fee.

Answer 1

Im not sure how to write an inequality, but Malcom needs to deposit $20.96 to maintain a $500 balance

Answer 2

Answer:

The required inequality is:

$638.54-159.50+x\geq 500$

The value of x is $x\geq 20.96$, Malcolm need to deposit at least 20.96 to avoid a fee.

Step-by-step explanation:

Consider the provided information.

Malcolm has $638.54 in his checking account. He must maintain a $500 balance to avoid a fee. He wrote a check for $159.50 today.

Let x is the amount he need to deposit to avoid a fee.

It is given that he needs to maintain at least $500.

That means the total balance should be greater or equal to $500.

Therefore, the required inequality is:

$638.54-159.50+x\geq 500$

Now solve the inequality for x.

$479.04+x\geq 500$

$479.04-479.04+x\geq 500-479.04$

$x\geq 20.96$

Hence, Malcolm need to deposit at least 20.96 to avoid a fee.