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:7 Months Step-by-step explanation:x=number of monthshow much is deducted total=number of months times amount deducted per m onthamount deducted per month=45number of months=xhow much deducted total=45x460-deducted total is more than 100460-45x>100solve for xadd 45x to both sides460>100+45xsubtract 100360>45xdivide both sides by 458>xanswer is 7 monthsif he does 8 months, then he will have exatly 100 and 100 is noe more than 100