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?
X=number of months how much is deducted total=number of months times amount deducted per m onth amount deducted per month=45 number of months=x how much deducted total=45x
460-deducted total is more than 100 460-45x>100 solve for x add 45x to both sides 460>100+45x subtract 100 360>45x divide both sides by 45 8>x answer is 7 months if he does 8 months, then he will have exatly 100 and 100 is noe more than 100