8. A plumber worked ten hours at $15 per hour. How many hours does she have to work at $20 per hour in order to average $18 per hour?
h represents: _____________________________________
7 answers
h represents the number of hours the plumber has to work at $20 per hour.
8. A plumber worked ten hours at $15 per hour. How many hours does she have to work at $20 per hour in order to average $18 per hour?
What equation can be used to solve this problem
What equation can be used to solve this problem
To solve this problem, we can use the equation for calculating average rate:
Average rate = Total earnings / Total hours worked
Let's set up the equation using the given information:
$18/hour = (total earnings at $15/hour + total earnings at $20/hour) / (10 hours + h hours)
Since we know the total earnings at $15/hour is $15/hour x 10 hours and the total earnings at $20/hour is $20/hour x h hours, the equation becomes:
$18/hour = ($15/hour x 10 hours + $20/hour x h hours) / (10 hours + h hours)
Now we can solve for h.
Average rate = Total earnings / Total hours worked
Let's set up the equation using the given information:
$18/hour = (total earnings at $15/hour + total earnings at $20/hour) / (10 hours + h hours)
Since we know the total earnings at $15/hour is $15/hour x 10 hours and the total earnings at $20/hour is $20/hour x h hours, the equation becomes:
$18/hour = ($15/hour x 10 hours + $20/hour x h hours) / (10 hours + h hours)
Now we can solve for h.
A plumber worked ten hours at $15 per hour. How many hours does she have to work at $20 per hour in order to average $18 per hour?
To solve this problem, we can set up an equation using the concept of average rate:
Average rate = Total earnings / Total hours worked
Let's use the given information to set up the equation:
$18/hour = (total earnings at $15/hour + total earnings at $20/hour) / (10 hours + h hours)
The total earnings at $15/hour is $15/hour x 10 hours = $150.
Let's substitute the values into the equation:
$18/hour = ($150 + $20/hour x h hours) / (10 hours + h hours)
Now, let's simplify the equation:
$18/hour = ($150 + $20h) / (10 + h)
To solve for h, we can cross-multiply:
$18/hour * (10 + h) = $150 + $20h
180 + 18h = 150 + 20h
Now, let's isolate the variable h:
18h - 20h = 150 - 180
-2h = -30
h = -30 / -2
h = 15
Therefore, the plumber needs to work 15 additional hours at $20 per hour in order to average $18 per hour.
Average rate = Total earnings / Total hours worked
Let's use the given information to set up the equation:
$18/hour = (total earnings at $15/hour + total earnings at $20/hour) / (10 hours + h hours)
The total earnings at $15/hour is $15/hour x 10 hours = $150.
Let's substitute the values into the equation:
$18/hour = ($150 + $20/hour x h hours) / (10 hours + h hours)
Now, let's simplify the equation:
$18/hour = ($150 + $20h) / (10 + h)
To solve for h, we can cross-multiply:
$18/hour * (10 + h) = $150 + $20h
180 + 18h = 150 + 20h
Now, let's isolate the variable h:
18h - 20h = 150 - 180
-2h = -30
h = -30 / -2
h = 15
Therefore, the plumber needs to work 15 additional hours at $20 per hour in order to average $18 per hour.
15 * 10 + 20h / 10 + h = 18
Actually, there seems to be a mistake in your equation. The correct equation should be:
(150 + 20h) / (10 + h) = 18
Let me solve this equation for you.
First, let's cross multiply to eliminate the fraction:
18(10 + h) = 150 + 20h
180 + 18h = 150 + 20h
Next, let's simplify the equation by grouping the variables on one side:
18h - 20h = 150 - 180
-2h = -30
Finally, let's solve for h:
h = (-30) / (-2)
h = 15
Therefore, the plumber needs to work 15 additional hours at $20 per hour in order to average $18 per hour.
(150 + 20h) / (10 + h) = 18
Let me solve this equation for you.
First, let's cross multiply to eliminate the fraction:
18(10 + h) = 150 + 20h
180 + 18h = 150 + 20h
Next, let's simplify the equation by grouping the variables on one side:
18h - 20h = 150 - 180
-2h = -30
Finally, let's solve for h:
h = (-30) / (-2)
h = 15
Therefore, the plumber needs to work 15 additional hours at $20 per hour in order to average $18 per hour.