Two mechanics worked on a car. The first mechanic worked for
20
hours, and the second mechanic worked for
5
hours. Together they charged a total of
$1725
. What was the rate charged per hour by each mechanic if the sum of the two rates was
$120
per hour?
Note that the ALEKS graphing calculator can be used to make computations easier

Question

Two mechanics worked on a car. The first mechanic worked for 
20
 hours, and the second mechanic worked for 
5
 hours. Together they charged a total of 
$1725
. What was the rate charged per hour by each mechanic if the sum of the two rates was 
$120
 per hour?
Note that the ALEKS graphing calculator can be used to make computations easier

anonymous · Answer

Let x be rate of charge for the first mechanic
Let y be rate of charge for the second mechanic

20x+5y=1725
x+y=120

Know how to solve this system of equation?

anonymous · Answer

could u help

anonymous · Answer

With?

anonymous · Answer

solving it

anonymous · Answer

First make both of them cancel by multiplying the second equation by -20?
So what would be your 2nd equation?

anonymous · Answer

You would want your x to cancel out to solve for y.

anonymous · Answer

ok

anonymous · Answer

Answer my question and I will proceed.

anonymous · Answer

The reason is because this should not be new to you.
This is harder example of a system of linear equation problem.