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 $1800. What was the rate charged per hour by each mechanic if the sum of the two rates was $150 per hour?

The mechanic who worked 5 hours charged $45 per hour while the mechanic who worked for 15 hours charged $105 per hour.

Step-by-step explanation:

Let x be the rate of mechanic who worked 5 hours

And y, the rate of mechanic who worked 15 hours

Represent the question in an equation

x + y = 150 equation 1

5x + 15y = 1800equation 2

x + y = 150, x = 150 -y

Substitute the value of x into equation 2 to get y

= 5 (150 -y) + 15y = 1800

Then open the bracket

750 - 5y + 15y = 1800

750 + 10y = 1800

10y = 1800 - 750

10y= 1050 (divide both sides by 10)

y = 1050/10

y = 105

Substitute the value of y into equation 1 to get the value of x

x + 105 = 150

x = 150 - 105

x = 45

Therefore, the mechanic who worked 5 hours charged $45 per hour while the mechanic who worked for 15 hours charged $105 per hour.

I hope this is clear, mark as brainliest please

-4

step-by-step explanation:

(-4+8)=-(4-8)=-8+4=-4

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.