Question

Roberto bought a new recliner. He was able to pay $200 at the time he received the recliner. He will pay $20 each month on the balance. The original cost of the recliner was $400. A. Let x represent the number of months needed to pay off the cost of the recliner. Explain how the equation 200 + 20 = 400 represents this situation. Solve the equation. How many months will it take Roberto to pay off the recliner?

Answer 1

x = 10 months

Explanation:

We are told that the original cost of the recliner was $400.

And that he paid $200 initially and pays $20 each month to balance up to $400.

This means that if the number of months he uses to pay up is x, the equation to balance up the total will be;

200 + 20x

This is equal to the original cost.

Thus;

200 + 20x = 400

20x = 400 - 200

20x = 200

x = 200/20

x = 10 months