Question

Grade 9 math
I need help with this question

Answer 1

Explanation:

Let the number of months = x

Cost = constant + monthly payment

Cost = 1000 + 1500x for apartment A

Cost = 1200 + 1475*x for apartment B

You want the costs to be equal, so

1000 + 1500x = 1200 + 1475x Subtract 1000 from both sides

1500x = 1200 - 1000 + 1475x Combine the right

1500x = 200 + 1475x Subtract 1475 from both sides

1500x - 1475x = 200 Combine

25x = 200 Divide by 25

x = 200/25

x = 8

After 8 months each apartment will cost the same amount.

How much is that

C = 1000 + 1500 *8

C = 1000 + 12000

C = 13000