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Answered

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?

Verified Answer :

You need to take the sum of the account minus 101 because he always wants more than 100 in there and then divide the answer by 45

(460-101)/45 = Months

359/45=Months

7 = Months he can pay for

apologiabiology

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



answer is 7 months

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