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mr Goodwill [35]

3 years ago

6

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 $1825. What was the rate charged per hour by each mechanic if the sum of the two rates was $170 per hour?

1 answer:

ra1l [238]3 years ago

3 0

Answer:

The rate charged by the first mechanic was $65 per hour and the rate charged by the second mechanic was $105 per hour

Step-by-step explanation:

Let

x ----> the amount charged per hour by the first mechanic

y ----> the amount charged per hour by the second mechanic

we know that

the sum of the two rates was $170 per hour

so

$x+y=170$ ----> equation A

Together they charged a total of $1825

so

$20x+5y=1,825$ ----> equation B

solve the system by graphing

Remember that the solution is the intersection point both graphs

using a graphing tool

The solution is the point (65,105)

see the attached figure

therefore

The rate charged by the first mechanic was $65 per hour and the rate charged by the second mechanic was $105 per hour

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1) $\frac{4}{6}+\frac{1}{8}=\frac{19}{24}$

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Step-by-step explanation:

In order to calculate the sum of two fractions, we first have to find the lowest common denominator of the two fractions, then multiply the numerator of each fraction by the ratio between the lowest common denominator and the original denominator, and then add/subtract the two new numerators.

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Here the lowest common denominator between 6 and 8 is 24,

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