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teller

  • one year ago

Would anyone mind helping me to see if I did this correctly? At the city museum, child admission is $5.90 and adult admission is $9.00.On Sunday, three times as many adult tickets as child tickets were sold, for a total sales of $921.20.How many child tickets were sold that day? C+A=14.9 5.90C+9.00A=921.20 5.90(14.9-A)+9.00A=921.20 5.90-14.9=87.91 87.91-5.90+9.00A=921.20 -3.1A=833.29 CANCEL OUT THE -3.1 AND DIVIDE 833.29 BY -3.1A =268.80 SO WOULD IT BE A=268.80?

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  1. Vocaloid
    • one year ago
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    uh, not quite, remember that A = the number of adult tickets, so it should be a whole number (no decimals!) how about we start over from the very beginning, ok?

  2. Vocaloid
    • one year ago
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    ok, we let C = number of child's tickets and A = number of adults tickets, with me so far?

  3. teller
    • one year ago
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    there should be a decimal since it is money right?

  4. Vocaloid
    • one year ago
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    think about what A and C represent...

  5. Vocaloid
    • one year ago
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    A = number of adult tickets C = number of child tickets there's no such thing as a half a ticket, correct? the number of tickets must be a whole number

  6. teller
    • one year ago
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    Um okay

  7. Vocaloid
    • one year ago
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    well, the problem tells us that "three times as many adult tickets as child tickets were sold" which tells us that: A = 3*C, agreed?

  8. teller
    • one year ago
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    Yes

  9. Vocaloid
    • one year ago
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    and we know that (price of adult ticket)(number of adult tickets) + (price of child's ticket)(number of child's tickets) = total sales

  10. teller
    • one year ago
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    alright

  11. Vocaloid
    • one year ago
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    giving us: 5.90C + 9.00A = 921.20, correct?

  12. teller
    • one year ago
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    Yes

  13. teller
    • one year ago
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    so i had that part right

  14. Vocaloid
    • one year ago
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    now let's work w/ our two equations: A = 3C 5.90C + 9.00A = 921.20

  15. teller
    • one year ago
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    wait let me gues

  16. teller
    • one year ago
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    5.90(3-a)+9.00a=921.20?

  17. Vocaloid
    • one year ago
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    almost but not quite...

  18. teller
    • one year ago
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    oh lol

  19. Vocaloid
    • one year ago
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    A = 3C, so we can replace "A" with "3C" whenever A shows up

  20. Vocaloid
    • one year ago
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    giving us: 5.90C + 9.00A = 921.20 5.90C + 9.00(3C) = 921.20

  21. teller
    • one year ago
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    alright

  22. Vocaloid
    • one year ago
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    now let's work on the left side of the equation... 5.90C + 9.00(3C) = 5.90C + 27C = 32.9C, agreed?

  23. teller
    • one year ago
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    yes

  24. Vocaloid
    • one year ago
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    so that leaves us with 32.9C = 921.20 do you know how to find C from here?

  25. teller
    • one year ago
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    would I divide ?

  26. Vocaloid
    • one year ago
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    yup, divide both sides by 32.9 to find C

  27. teller
    • one year ago
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    I got an odd number...

  28. Vocaloid
    • one year ago
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    check your math again, use a calculator if you aren't sure

  29. Vocaloid
    • one year ago
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    921.20/32.9 = ?

  30. teller
    • one year ago
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    0.0357142857142857

  31. Vocaloid
    • one year ago
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    other way around, big number divided by small number 921.20/32.9 = ?

  32. teller
    • one year ago
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    28

  33. teller
    • one year ago
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    ooooo thank you

  34. Vocaloid
    • one year ago
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    right, so C = 28, and since C is the number of child's tickets, 28 is our answer

  35. teller
    • one year ago
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    thank you!

  36. teller
    • one year ago
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    @Vocaloid mind helping me with another one it's my last question

  37. Vocaloid
    • one year ago
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    sure, I'll give it a shot

  38. Vocaloid
    • one year ago
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    post a new question and tag me

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