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anonymous

  • one year ago

Kobe's overtime pay is $5 an hour more than his regular pay. He worked 8 hours at his regular wage and 3 hours at his overtime wage. He earned $114. What is Kobe's regular wage per hour?

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  1. jojokiw3
    • one year ago
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    So you have 2 unknowns, this means you need 2 equations to solve 2 unknowns, what 2 equations do you have?

  2. anonymous
    • one year ago
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    No equations are given.

  3. jojokiw3
    • one year ago
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    Well 2 algebraic equations are in the word problem, you just gotta convert it.

  4. anonymous
    • one year ago
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    Oh. 8x + 3(5) = 114 is the only equation I can come up with.

  5. jojokiw3
    • one year ago
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    Hm, Let's see again. Let's name Overtime Pay as "O" and Regular Pay as "R". What does O equal in terms of R?

  6. anonymous
    • one year ago
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    ?

  7. jojokiw3
    • one year ago
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    ? What does Overtime equal? I don't want a number, because you don't know it and neither do I. The word problem tells you what his overtime pay equals.

  8. anonymous
    • one year ago
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    More time than the assigned hours

  9. jojokiw3
    • one year ago
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    My bad. what does his overtime PAY equal?

  10. anonymous
    • one year ago
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    The amount of money you're given when you work more hours than you're supposed to.

  11. jojokiw3
    • one year ago
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    Equal, not definition.

  12. anonymous
    • one year ago
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    ?

  13. jojokiw3
    • one year ago
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    It says in the first sentence of the problem

  14. jojokiw3
    • one year ago
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    It tells you how much his overtime pay is.

  15. anonymous
    • one year ago
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    Kobe's overtime pay is $5 an hour more than his regular pay. Oh.

  16. jojokiw3
    • one year ago
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    Yeah. Make that an equation.

  17. anonymous
    • one year ago
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    x = x + 5

  18. jojokiw3
    • one year ago
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    How can x = x+5?

  19. jojokiw3
    • one year ago
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    Okay so you don't know what his overtime pay is, or what his regular pay is. These are called unknowns and you have 2 of them. You have to assign unique letters for each unknown.

  20. anonymous
    • one year ago
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    Sorry. Um... I don't know. Sorry I don't like math so I don't understand a lot of things.

  21. jojokiw3
    • one year ago
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    It's okay, we all have things we're learning.

  22. jojokiw3
    • one year ago
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    Okay so when you say "x = x+5" you're saying some thing like, the amount of my apples is the same as the amount of my apples PLUSES five more apples. That doesn't work right?

  23. anonymous
    • one year ago
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    I guess you're right.

  24. jojokiw3
    • one year ago
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    So once you used x for "overtime pay", you can't use it again for regular pay. Instead, use another letter.

  25. anonymous
    • one year ago
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    Oh how about y.

  26. jojokiw3
    • one year ago
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    Yeah, that works! But now that you've decided on x and y, they'll mean the same thing for the rest of the problem. So now you have x = y+5, right?

  27. anonymous
    • one year ago
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    Yeah!

  28. jojokiw3
    • one year ago
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    So we've gotten everything out of the first sentence, next two sentences. "He worked 8 hours at his regular wage and 3 hours at his overtime wage. He earned $114."

  29. jojokiw3
    • one year ago
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    See if you can make an equation out of that. Remember, x = overtime pay and y = regular pay.

  30. anonymous
    • one year ago
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    Okay so this is the part where I get really confused. I tried 3(5) so that it represents : the amount of money he got(5) for working extra hours(3) and I got 15 and I did 114 - 15 but I got 99 and 99 is not one of the choices and I don't know what I did wrong.

  31. jojokiw3
    • one year ago
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    Haha okay, holld them reins. You still don't know what x or y is, and you need to find those out first.

  32. anonymous
    • one year ago
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    Oh, okay.

  33. anonymous
    • one year ago
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    Sorry.

  34. jojokiw3
    • one year ago
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    y can be 1000, 10000, 1 mil, we have to figure what y is in order to figure what x is.

  35. jojokiw3
    • one year ago
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    Now lemme show you the equation for those two sentences.

  36. anonymous
    • one year ago
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    Okay.

  37. jojokiw3
    • one year ago
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    \[8(y) + 3(x) = 144\]

  38. jojokiw3
    • one year ago
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    Do you have any questions?

  39. anonymous
    • one year ago
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    Um...You wrote 144 but its 114.

  40. jojokiw3
    • one year ago
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    Hahah! Whooppps. See, I'm human too. \[8y + 3y = 114\]

  41. anonymous
    • one year ago
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    Haha yeah well that's okay. Well thanks anyway! Wow you're great at math, how do you figure that all out?

  42. jojokiw3
    • one year ago
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    OHoafhohodf. UGH another mistake. No nononono. Get rid of that equation oh god.

  43. jojokiw3
    • one year ago
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    \[8y + 3x = 114\]

  44. jojokiw3
    • one year ago
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    There, that's correct now. whew.

  45. anonymous
    • one year ago
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    Okay. Thanks! :)

  46. jojokiw3
    • one year ago
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    Can you solve from there?

  47. anonymous
    • one year ago
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    Yeah! Thank You, Thank You and Thank You a million more times. Bye!

  48. jojokiw3
    • one year ago
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    Haha alright. Good luck. :)

  49. anonymous
    • one year ago
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    Thanks!

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