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Alyssa worked 2 part-time jobs and earned $181.50 for working a total of 24 hours at both jobs. She is paid $6.00 per hour at job A and $8.50 a hour at job B. How many hours did Alyssa work at job A?

Respuesta :

calculista

Answer:

Alyssa work at job A [tex]9\ hours[/tex]

Step-by-step explanation:

Let

x------> the number  of hours at work A

y------> the number  of hours at work B

we know that

[tex]x+y=24[/tex]

[tex]y=24-x[/tex] -----> equation A

[tex]6x+8.5y=181.5[/tex] -----> equation B

substitute equation A in equation B

[tex]6x+8.5(24-x)=181.5[/tex]

[tex]6x+204-8.5x=181.5[/tex]

[tex]8.5x-6x=204-181.5[/tex]

[tex]2.5x=22.5[/tex]

[tex]x=22.5/2.5[/tex]

[tex]x=9\ hours[/tex]

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