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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?

User Bmiljevic
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1 Answer

2 votes

Answer:

Alyssa work at job A
9\ hours

Explanation:

Let

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

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

we know that


x+y=24


y=24-x -----> equation A


6x+8.5y=181.5 -----> equation B

substitute equation A in equation B


6x+8.5(24-x)=181.5


6x+204-8.5x=181.5


8.5x-6x=204-181.5


2.5x=22.5


x=22.5/2.5


x=9\ hours

User Robin Koch
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