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aniked [119]
3 years ago
10

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?
Mathematics
1 answer:
Rashid [163]3 years ago
5 0

Answer:

John work as a security guard job <u>27 hours</u> and as a landscaper <u>33 hours</u>.

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 )

<em>Now, the money earned by John in a week:</em>

8.50x+14y=691.50

<em>Putting the equation ( 1 ) in the place of y:</em>

⇒ 8.50x+14(60-x)=691.50

⇒ 8.50x+840-14x=691.50

<em>Moving variables on one side and the other we get:</em>

⇒ 840-691.50=14 x-8.50x

⇒148.50=5.50x

<em>Dividing both sides by 5.50 we get:</em>

⇒ 27=x

<u>As a security guard job he worked 27 hours</u><u>.</u>

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

y=60-27

⇒ y=33.

<u>As a landscaper he worked 33 hours</u>.

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

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