Question

A television set can be purchased with a $200 down payment plus a $39.99 monthly payment. Alternatively, the television can be purchased with no money down and monthly payments of $59.99. Solve for the number of months until the payments are of equal value.

Answer 1

10 months

Explanation:

Let x denotes number of months.

Down payment of first TV = $200

Per month payment of first TV = $39.99

Total payment of first TV
`=200+39.99x`

Down payment of second TV = $0

Per month payment of second TV = $59.99

Total payment of second TV
`=0+59.99x=59.99x`

To find number of months until the payments are of equal value,

solve
`200+39.99x=59.99x`

`200+39.99x=59.99x\\200=59.99x-39.99x\\200=20x\\x=(200)/(20)\\ x=10`

So, payments become of equal value after 10 months.