Question

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?

Answer 1

So if he wants to have more then 100 in his bank then what i would do is take 100 from 460 and you get 360 then divide that by 45 and you get 8 but as said before he wants more then 100 so he would be able to pay 7 months in a row and have over 100 in his bank account still

Answer 2

The answer is 7 months.

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:

`460-45x >100`

Solving this we get

`460>100+45x`

=>
`360>45x`

=>
`8>x`

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.