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

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`