Question

Recycling Center #1 charges $0.75 per visit but lets you use their equipment for free. Recycling Center #2 charges you $0.25 per visit and $5.00 to use their equipment. How many times would you need to visit the recycling center for the total cost to be the same?

Answer 1

10 times

Explanation:

We have two separate equations that represent this situation:

0.75x ----> which represents recycling center #1

0.25x + 5.00 -----> which represents recycling center #2

To find the amount of times you would need to visit the recycling centers for the total cost to be the same, put both of these equations equal to each other:

0.75x = 0.25x + 5.00

Now, solve:

0.75x = 0.25x + 5.00 Subtract 0.25x from 0.75x

0.50x = 5.00 Divide 5.00 by 0.50

x = 10

Thus, you would need to visit the recycling centers 10 times for the total cost to be the same.

Let's check this answer by plugging 10 into both equations:

0.75(10) = 7.5

0.25(10) + 5.00 = 7.5

Since both of the answers are the same, then 10 is the correct answer!

I hope this helps! Good luck!