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