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two mechanics worked on a car. the first mechanic worked for 15 hours, and the second mechanic worked for 5 hours. together they charged a total of $1350.what was the rate charged per hour by each mechanic if the sum of the two rates was $120 per hour?

Respuesta :

By solving equations we know that the first and second worked charged $75 and $45 per hour.

What are equations?

  • A mathematical statement that has an "equal to" symbol between two expressions with equal values is called an equation.
  • As in 3x + 5 Equals 15, for instance.
  • Equations come in a variety of forms, including linear, quadratic, cubic, and others.

So, let's form equations as follows:

Let F (15 hours) be the first worked and S (5 hours) by the second worker, then:

  • F + S = 120
  • F = 120 - S

Now, solve further:

  • 15F + 5S = 1350
  • 15(120 - S) + 5S = 1350
  • 1,800 - 15S + 5S = 1350
  • -10S = -450
  • S = $45

The second work charged 45$.

  • F + S = 120
  • F + 45 = 120
  • F = 120 - 45
  • F = $75

Therefore, by solving equations we know that the first and second worked charged $75 and $45 per hour.

Know more about equations here:

https://brainly.com/question/28937794

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