Mr. Hower can buy a computer with a down payment of $510 and 8 monthly payments of $35.75. If he pays cash for the computer, the cost is $699.99. How much money will he save if he pays cash for the computer instead of paying for it in monthly payments?

Verified Answer :

The amount of money saved by the person is \(\boxed{\$\ 96.01}\).

Further explanation:

Given:

The person buys the computer with a down payment of \(\$\ 510\) and monthly payments of \(\$\ 35.75\) for \(8\text{ months}\).

The cost of the computer if the person pays cash for the computer is \(\$\ 699.99\).

Calculation:

The monthly payment by the person is \(\$\ 35.75\) for \(8\text{months}\).

The payment made by the person in \(8\text{months}\) can be calculated as follows:

\(\boxed{8\times 35.74=216}\)

This implies that the payment by the person in \(8\text{ months}\) is \(\$\ 216\).

The down payment made by the person to buy the computer is \(\$\ 510\).

Therefore, total payment done by the person is calculated as follows:

\(\boxed{510+286=796}\)

This implies that the total payment to be paid by the person in downpayment and monthly payment is \(\$\ 796\).

The cost of the computer is \(\$\ 699.99\) if the person pays cash for the computer.

Therefore, the person buys the computer in \(\$\ 796\) if he is paying monthly payment that is more than the actual cost of the computer.

The loss of the person to buy the computer can be calculated as follows:

\(\boxed{796-699.99=96.01}\)  

The loss of the person is \(\$\ 96.01\).

Therefore, the amount of money saved by the person is \(\boxed{\$\ 96.01}\).

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Answer details:

Grade: Middle school

Subject: Mathematics

Chapter: Algebraic expression

Keywords: Mr. Hower, computer, monthly payments, down payment, paying, cash, actual cost, algebra, 699.99, 510, 35.75, saves money.