jacob had $180 in his savings account at the beginning of summer vacation. over the next 12 weeks, he mowed…

jacob had $180 in his savings account at the beginning of summer vacation. over the next 12 weeks, he mowed lawns in his neighborhood earning $145 and spending $55 each week. he deposited all of his weekly profits to his savings account each week. when summer vacation is over, he plans to spend $180 per month. for how many months can he make withdrawals from his saving account until his balance is $0? month(s)

jacob had $180 in his savings account at the beginning of summer vacation. over the next 12 weeks, he mowed lawns in his neighborhood earning $145 and spending $55 each week. he deposited all of his weekly profits to his savings account each week. when summer vacation is over, he plans to spend $180 per month. for how many months can he make withdrawals from his saving account until his balance is $0? month(s)

Answer

Explanation:

Step1: Calculate weekly net - profit

Net profit per week is the earnings minus the spending. So, $145 - 55=90$ dollars per week.

Step2: Calculate total summer savings

Over 12 weeks, the total savings is the net profit per week times the number of weeks. So, $90\times12 = 1080$ dollars.

Step3: Calculate total available money

The total available money is the initial savings plus the summer savings. So, $180+1080 = 1260$ dollars.

Step4: Calculate number of months

If he spends $180$ per month, then the number of months is the total available money divided by the monthly spending. So, $\frac{1260}{180}=7$ months.

Answer:

7