Middle School

We appreciate your visit to 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. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

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 :

John worked 27 hours as security guard and 33 hours as landscaper.

Step-by-step explanation:

Given,

Cost per hour as security guard = $8.50

Cost per hour as landscaper =$14

Total hours = 60

Total earned = $691.50

Let,

x be the number of hours worked as security guard.

y be the number of hours worked as landscaper.

According to given statement;

x+y=60 Eqn 1

8.50x+14y=691.50 Eqn 2

Multiplying Eqn 1 by 8.50

[tex]8.50(x+y=60)\\8.50x+8.50y=510\ \ \ Eqn\ 3[/tex]

Subtracting Eqn 3 from Eqn 2

[tex](8.50x+14y)-(8.50x+8.50y)=691.50-510\\8.50x+14y-8.50x-8.50y=181.50\\5.5y=181.50[/tex]

Dividing both sides by 5.5

[tex]\frac{5.5y}{5.5}=\frac{181.50}{5.5}\\y=33[/tex]

Putting y=33 in Eqn 1

[tex]x+33=60\\x=60-33\\x=27[/tex]

John worked 27 hours as security guard and 33 hours as landscaper.

Keywords: linear equation, subtraction

Learn more about linear equations at:

  • brainly.com/question/12700460
  • brainly.com/question/12773544

#LearnwithBrainly

Thanks for taking the time to read 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. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada