Raul has $460 in his checking account. each month, $45 is automatically deducted from his account to pay for his cell phone plan. he makes no other deposits or withdrawals. he wants to always have more than $100 in his account. what is the greatest number of months he can pay for his cell phone and still have more than $100 in his account?

The answer is 7 months.

Step-by-step explanation:

Raul has $460 in his checking account. Each month, $45 is automatically deducted from his account to pay for his cell phone plan.

He wants to always have more than $100 in his account.

Let the greatest number of months he can pay for his cell phone and still have more than $100 in his account be = x

So, equation representing this situation becomes:

Solving this we get

=>

=>

So, the answer is 7 months.

If we take months, then exactly $100 will be left but the condition says, more than $100 is needed, so we will take 7 months.

Therefore, the answer is 7 months.