Two mechanics worked on a car. the first mechanic worked for 5 hours, and the second mechanic worked for 15 hours. together they charged a total of $1575. what was the rate charged per hour by each mechanic if the sum of the two rates was $155 per hour?

Two mechanics worked on a car.

Now, mechanic 1 has spent 5 hours working on the car.

Mechanic 2 has spent 15 hours working on the car.

Lets say mechanic 1 charged 'x' dollars per hour and mechanic 2 charged 'y' dollars per hour.

So,

that is our first equation ( 1 ):

And,

that is our second equation ( 2 ):

Using the two equations we can solve for 'x' and 'y', using our first equation we get:

On solving for 'x' and 'y' we get:

and putting the value of 'y' in the equation 2 we get:

As mentioned earlier, 'x' represents the charge that mechanic 1 charged per hour and 'y' represents the charge that mechanic 2 charged per hour.

We have and .

So, the mechanic 1 charged $75 per hour and mechanic 2 charged $80 per hour.

5x+40

5(x + 8)

7x - 49

7(x - 7)

18x + 9

9(2x + 1)

15x - 10

5(3x - 2)

step-by-step explanation:

for number one all you have to do is factor 5 out of 5x + 40

for number 2 factor 7 out of 7x - 49

for number three factor 9 out of 18x + 9

for number four factor 5 out of 15x - 10

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