Katrina bought a new sofa. She was able to pay $100 at the time she received the sofa. She will pay $22 each month on
the balance. The original cost of the sofa was $298. The
equation 100 + 22 = 298 represents this situation.
Use the equation to determine how many months will it take
Katrina to pay off the sofa.

Work Shown:

100 + 22x = 298

22x = 298-100   subtracting 100 from both sides

22x = 198

x = 198/22 dividing both sides by 22

x = 9

It will take 9 months for her to pay off the sofa.

She pays the original $100, and then on top of that, she pays an extra 22*x = 22*9 = 198 dollars since she paid $22 per month for 9 months. So this leads to 100+198 = 298 dollars total to help confirm our answer.

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step-by-step explanation: