A moving company charges $800 plus $16 per hour. Another company charges $720 plus $21 per hour. How long is a job that costs the same amount for both companies?
For n hours, you want
800+16n = 720+21n
Now just solve for n
To calculate the length of the job that costs the same amount for both companies, we can set up an equation. Let's denote the length of the job as "x" in hours.
For the first moving company:
Total cost = $800 + $16 per hour * x hours = $800 + 16x
For the second moving company:
Total cost = $720 + $21 per hour * x hours = $720 + 21x
Since both companies charge the same amount for the job, we can equate the total costs:
$800 + 16x = $720 + 21x
To solve for x, we can rearrange the equation:
16x - 21x = $720 - $800
-5x = -$80
Dividing both sides by -5:
x = 16
Therefore, the job will cost the same for both companies if it takes 16 hours to complete.