spook1829
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Two mechanics work on a car . The first mechanic worked 10 hours and the second mechanic worked for 15 hours. Together they charged a total of $2050. What was the rate charged by each mechanic if the sum of the two rates was $16 per hour?

Respuesta :

calculista

Answer:

[tex]\$12.4\ per\ hour[/tex]

and

[tex]\$3.6\ per\ hour[/tex]

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 $16 per hour

so

[tex]\frac{x}{10}+\frac{y}{15}=16[/tex] ----> equation A

Together they charged a total of $2050

so

[tex]10x+15y=2,050[/tex] ----> 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 (124,54)

see the attached figure

Find the rate charged by each mechanic

First mechanic

[tex]\frac{124}{10}=\$12.4\ per\ hour[/tex]

Second mechanic

[tex]\frac{54}{15}=\$3.6\ per\ hour[/tex]

Ver imagen calculista

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