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anonymous

  • one year ago

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

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  1. zpupster
    • one year ago
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    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

  2. anonymous
    • one year ago
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    Can you explain that to me a bit more please

  3. zpupster
    • one year ago
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    ok you probably are having trouble solving the system of equations right??

  4. anonymous
    • one year ago
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    Yes

  5. anonymous
    • one year ago
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    My problem is, I dont understand how the problem is supposed to be set up so I can figure out the question

  6. zpupster
    • one year ago
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    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

  7. zpupster
    • one year ago
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    do you understand all the steps

  8. anonymous
    • one year ago
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    No

  9. zpupster
    • one year ago
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    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

  10. anonymous
    • one year ago
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    Alright I'm understanding that part now

  11. zpupster
    • one year ago
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    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

  12. zpupster
    • one year ago
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    ok with that??

  13. anonymous
    • one year ago
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    Yes!!! Thank you very much!

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