Question

Dwayne earned $530 working 2 jobs. One job pays $14 per hour and the other pays $10 per hour. He worked a total of 45 hours how many hours did he work at each job? Set up a system and solve

Answer 1

Dwayne worked 20 hours for first job and 25 hours for second job.

Explanation:

Let the number of hours worked by Dwayne in first job = x

Let the number of hours worked by Dwayne in second job = y

Then,
`\[x + y = 45\]` ----------------- (1)

First job pays $14 per hour

Second job pays $10 per hour

=>
`\[14x + 10y = 530\]` ------------- (2)

Solving (1) and (2):

`\[y = 45 - x\]`

Substituting in (2):

`\[14x + 10 (45-x) = 530\]`

=>
`\[14x + 450- 10x = 530\]`

=>
`\[4x  = 530 - 450\]`

=>
`\[4x  = 80\]`

=>
`\[x  = 20\]`

Substituting in (1):

`\[y = 45 - x\]`

=>
`\[y = 45 - 20\]`

=>
`\[y = 25 \]`