anonymous
  • anonymous
Glenn works as an office clerk and his job pays him $12 per hour. Shelia works as a cashier and her job pays her $13.50 per hour. Together, they worked 55 hours and earned a total of $705. How many hours did Glenn work in his job? A. 20 B. 30 C.35 D.25
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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zpupster
  • zpupster
Shelia=x hours Glenn=y hours we know x+y = 55 13.50 x and 12y taking the number of hours times amount per hour will equal 705 so are system of equations are x+y = 55 13.50x + 12y = 705
anonymous
  • anonymous
Can you explain that to me a bit more please
zpupster
  • zpupster
ok you probably are having trouble solving the system of equations right??

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anonymous
  • anonymous
Yes
anonymous
  • anonymous
My problem is, I dont understand how the problem is supposed to be set up so I can figure out the question
zpupster
  • zpupster
ok multiply x+y=55 times -12 -12(x+y=55) -12x -12y = -660 and add to the next equation 13.50x + 12y = 705 ____________________________ 1.50x = 45 divide both sides by 1.50 x= 30 this is sheila's hours worked what is Glen's
zpupster
  • zpupster
do you understand all the steps
anonymous
  • anonymous
No
zpupster
  • zpupster
ok i looked at the total number of hours worked 55 and i assigned a x to sheila and y to glen and then formed an equation x+y = 55 so far so good
anonymous
  • anonymous
Alright I'm understanding that part now
zpupster
  • zpupster
all right next if you take the number of hours a person worked and multiply it by the amount they get paid per hour that is their total amount paid. but here we have two people so we add their amounts together remember sheila is x and glen is y so we have to multiply their no hours worked by what there hourly rate is sheila 13.50 * x glen 12 * y this will equal the total amount 705 dollars here is the second equation 13.50x + 12 y = 705 dollars
zpupster
  • zpupster
ok with that??
anonymous
  • anonymous
Yes!!! Thank you very much!

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