Question

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?

Answer 1

Answer:

Alyssa work at job A $9\ hours$

Step-by-step 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

$6x+8.5(24-x)=181.5$

$6x+204-8.5x=181.5$

$8.5x-6x=204-181.5$

$2.5x=22.5$

$x=22.5/2.5$

$x=9\ hours$