Respuesta :
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 [tex]x[/tex] hours.
And the job of landscaper be [tex]y[/tex] hours.
So, the total hours John worked in a week:
[tex]x+y=60.[/tex]
⇒ [tex]y=60-x.[/tex]............( 1 )
Now, the money earned by John in a week:
[tex]8.50x+14y=691.50[/tex]
Putting the equation ( 1 ) in the place of [tex]y[/tex]:
⇒ [tex]8.50x+14(60-x)=691.50[/tex]
⇒ [tex]8.50x+840-14x=691.50[/tex]
Moving variables on one side and the other we get:
⇒ [tex]840-691.50=14 x-8.50x[/tex]
⇒[tex]148.50=5.50x[/tex]
Dividing both sides by 5.50 we get:
⇒ [tex]27=x[/tex]
As a security guard job he worked 27 hours.
Putting the value of in [tex]x[/tex] equation ( 1 ) we get:
[tex]y=60-27[/tex]
⇒ [tex]y=33.[/tex]
As a landscaper he worked 33 hours.
Therefore, John work as a security guard job 27 hours and as a landscaper 33 hours.
