Question

George makes a $1000 down payment for a car and then pays $325 per month. Elaine makes a $2500 down payment for a car and then pays $325 per month. Is there any number of months after which both George and Elaine will have paid the same total amount? Explain.

Answer 1

No. After any number of months, the total amount paid by both can't be the same.

Explanation:

The down payment made by George = 1000

The down payment made by Elaine = 2500

Difference = 2500 - 1000 = 1500

Monthly payment by George = 325

Monthly payment by Elaine = 325

Difference = 0

Total difference between the payment made by them = 1500 + 0 = 1500.

Since, this is the difference for every month, the total amount paid by both can never be the same.