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?

Question

Ryder Shaw

Mathematics

29 March, 09:18

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?

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Answers (2)

Know the Answer?

Gabriel Hebert · Answer 1

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

Mendez · Answer 2

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