Question

John works two jobs. As a security guard he earns $8.50 per hour. As a landscaper he earns $14 per hour. One week John worked a total of 60 hours and earned $691.50. How many hours did he work at each job?

Answer 1

Answer:

John work as a security guard job 27 hours and as a landscaper 33 hours.

Step-by-step explanation:

Given:

John works two jobs.

As a security guard he earns $8.50 per hour and as a landscaper he earns $14 per hour.

One week John worked a total of 60 hours and earned $691.50.

Now, to find hours he work at each job.

Let the job of security guard be $x$ hours.

And the job of landscaper be $y$ hours.

So, the total hours John worked in a week:

$x+y=60.$

⇒ $y=60-x.$............( 1 )

Now, the money earned by John in a week:

$8.50x+14y=691.50$

Putting the equation ( 1 ) in the place of $y$:

⇒ $8.50x+14(60-x)=691.50$

⇒ $8.50x+840-14x=691.50$

Moving variables on one side and the other we get:

⇒ $840-691.50=14 x-8.50x$

⇒$148.50=5.50x$

Dividing both sides by 5.50 we get:

⇒ $27=x$

As a security guard job he worked 27 hours.

Putting the value of in $x$ equation ( 1 ) we get:

$y=60-27$

⇒ $y=33.$

As a landscaper he worked 33 hours.

Therefore, John work as a security guard job 27 hours and as a landscaper 33 hours.