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AGummiBear55

A group of 17 people are going to an amusement park. Adult tickets cost $53.50 each and child tickets cost $47.25 each. If the total cost for admission to the park is $859.50, how many adults attended the amusement park? 7 8 9 10

  • one year ago
  • one year ago

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  1. ashlynn143
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    this is one expensive place but how many kids went so we can see how many adults went

    • one year ago
  2. AGummiBear55
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    That's my problem... It doesn't say... that's the whole question. :/

    • one year ago
  3. CalebBeavers
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    Set up two equations, one for the total number of people that went, and one for the total cost

    • one year ago
  4. ashlynn143
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    oh

    • one year ago
  5. ashlynn143
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    ok i will try no promises

    • one year ago
  6. AGummiBear55
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    @CalebBeavers What do you mean. @ashlynn143 It's okay, anything helps. (:

    • one year ago
  7. CalebBeavers
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    Call kids x and adults y so x+y=17 since 17 people went now try to make one for the cost

    • one year ago
  8. AGummiBear55
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    How would I make one for the cost if I don't know how many people went?

    • one year ago
  9. ashlynn143
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    17 people went

    • one year ago
  10. CalebBeavers
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    Use the variables...you know the price for each one and the total cost

    • one year ago
  11. ashlynn143
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    could this help y=adult x= child y(53.50) + x(47.25)

    • one year ago
  12. ashlynn143
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    @CalebBeavers ^^^^^

    • one year ago
  13. AGummiBear55
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    $53.50x + 47.25y = 859.50 ???

    • one year ago
  14. CalebBeavers
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    Okay, adults can be x. thats right so now we have a system of equations x+y=17 53.50x+47.25y=859.50

    • one year ago
  15. ashlynn143
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    ok so now what do we do

    • one year ago
  16. AGummiBear55
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    ??? I'm still confused. I'm sorry.. I'm horrible at math and it's been a long day. X(

    • one year ago
  17. ashlynn143
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    because we dont know the number of kids

    • one year ago
  18. AGummiBear55
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    I get what you have so far, but how do we get the number of adults who went?

    • one year ago
  19. CalebBeavers
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    Solve for y in the first equation

    • one year ago
  20. ashlynn143
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    i will try

    • one year ago
  21. AGummiBear55
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    How.. we don't know what x equals.

    • one year ago
  22. CalebBeavers
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    Solve for y in terms of x, just isolate y on the left side

    • one year ago
  23. AGummiBear55
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    okay, so... 47.25y=859.50-53.50x do I have that right so far or am I doing it wrong?

    • one year ago
  24. CalebBeavers
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    Solve for it in the first equation x+y=17 itll be much easier

    • one year ago
  25. AGummiBear55
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    okay so... y=17+x ... is that right so far?

    • one year ago
  26. AGummiBear55
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    *17-x

    • one year ago
  27. CalebBeavers
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    yep, now take 17-x and plug that in for y in the other equation

    • one year ago
  28. ashlynn143
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    i got to go sorry

    • one year ago
  29. AGummiBear55
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    @ashlynn143 it's okay. (:

    • one year ago
  30. AGummiBear55
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    What do you mean? like: 53.50x+47.25(17-x)=859.50 ???

    • one year ago
  31. CalebBeavers
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    Yes, now solve for x

    • one year ago
  32. AGummiBear55
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    How do I solve for x?

    • one year ago
  33. CalebBeavers
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    Algebra...just solve like normal theres only one variable now

    • one year ago
  34. AGummiBear55
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    yeah, but it's 17-x ... gah!! I'm confused. :(

    • one year ago
  35. CalebBeavers
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    Do you know how to solve an equation?

    • one year ago
  36. AGummiBear55
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    Yeah, but it's just confusing because there are no real numbers... like 17-x throws me off and gets me all confused.

    • one year ago
  37. AGummiBear55
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    Like if I were to solve for x, I'd have to isolate the x, but I don't know how in the world to do that because the 17-x is throwing me off and I'm confused on the whole problem now. :( :(

    • one year ago
  38. CalebBeavers
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    Distribute the 47.25 into the parentheses first

    • one year ago
  39. AGummiBear55
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    oh... okay, so... 53.50x + 803.25 + x = 859.50 ??? right? What next? (:

    • one year ago
  40. CalebBeavers
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    You didnt multiply the x.. 53.50x+803.25-47.25x=859.50

    • one year ago
  41. AGummiBear55
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    ohh... okay. duh. Alright. so 53.50x + 803.25 - 47.25x = 859.50.. now what?

    • one year ago
  42. CalebBeavers
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    combine like terms and subtract 803.25 from both sides

    • one year ago
  43. AGummiBear55
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    okay... so I get 57.

    • one year ago
  44. AGummiBear55
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    Now what?

    • one year ago
  45. CalebBeavers
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    thats not right

    • one year ago
  46. AGummiBear55
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    What? :( 53.50x + 503.25 = 859.50 6.25x + 503.25= 859.50 -503.25 6.25= 356.25 +6.25 = 57

    • one year ago
  47. CalebBeavers
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    6.25x=56.25 x=56.25/6.25

    • one year ago
  48. AGummiBear55
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    9? ?

    • one year ago
  49. AGummiBear55
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    (: YOU ARE AMAZING!! THANKS SO MUCH!!!! :D

    • one year ago
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