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automaticloveletter

  • one year ago

A matinee ticket costs $6 per adult and $1 per child. On a certain day, the total number of adults (a) and children (c) who saw a movie was 35, and the total money collected was $70. Which of the following options represents the number of children and the number of adults who saw a movie that day, and the pair of equations that can be solved to find the numbers? 7 children and 28 adults Equation 1: a + c = 35 Equation 2: 6a − c = 70 7 children and 28 adults Equation 1: a + c = 35 Equation 2: 6a + c = 70 28 children and 7 adults Equation 1: a + c = 35 Equation 2: 6a + c = 70

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  1. anonymous
    • one year ago
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    Just a heads up. On your other question about the elimination method, the first person to answer your question was wrong. I showed you how to do the problem and my answer checked out. You may want to visit it.

  2. anonymous
    • one year ago
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    I can work with you on this problem now.

  3. automaticloveletter
    • one year ago
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    Please c:

  4. anonymous
    • one year ago
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    Okay let's break it down. Let's start with the first information given to us: $6 per adult and $1 per child. We don't know what the numbers of adults and children are so we need to assign each a variable. Let "a" stand for number of adults and "c" for number of children.

  5. anonymous
    • one year ago
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    Does that make sense?

  6. automaticloveletter
    • one year ago
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    Yes

  7. anonymous
    • one year ago
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    So basically the sentence "$6 per adult" is equal to the expression: 6a. and "$1 per child" is equal to the expression 1c.

  8. anonymous
    • one year ago
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    If we took those two expressions and added them together, would you agree that we would find the total cost of this trip to the movies?

  9. automaticloveletter
    • one year ago
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    Yeah

  10. anonymous
    • one year ago
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    Okay. lets say the total cost is represented by an x. The equation would be 6a+1c=x.

  11. automaticloveletter
    • one year ago
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    Yeah, I get that part

  12. anonymous
    • one year ago
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    We can fill in the x variable because in the problem it says that the total money collected was $70. So now the equation would be: 6a+1c=70.

  13. automaticloveletter
    • one year ago
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    I know

  14. anonymous
    • one year ago
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    we can drop the 1 in front of the c and the equation's value wouldn't change: 6a+c=70.

  15. anonymous
    • one year ago
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    next you would take the number of adults and the number of children and add them together to find the total number of people that came.

  16. anonymous
    • one year ago
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    Can you figure out that equation?

  17. automaticloveletter
    • one year ago
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    No that's where I got stuck

  18. anonymous
    • one year ago
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    Okay. Well, remember when I said that our variables would be "a" for the NUMBER OF ADULTS and "c" for the NUMBER OF CHILDREN? To find the total number of people who came, you would take the NUMBER OF ADULTS and the NUMBER OF CHILDREN and add them together to get the total number of people which according to the directions is 35.

  19. automaticloveletter
    • one year ago
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    Ah okay

  20. anonymous
    • one year ago
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    Your equation would simply be a+c=35.

  21. automaticloveletter
    • one year ago
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    So it's either B or c

  22. anonymous
    • one year ago
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    yes. now we just have to solve the equations. Do you want help with that?

  23. automaticloveletter
    • one year ago
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    I'm leaning towards C

  24. anonymous
    • one year ago
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    That's correct! Great job! :)

  25. automaticloveletter
    • one year ago
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    Thank you for helping me c:

  26. anonymous
    • one year ago
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    You're very welcome! I enjoyed it! :) :) :)

  27. anonymous
    • one year ago
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    Did you check out my answer to your other question yet? You would multiply the bottom equation by -3.

  28. automaticloveletter
    • one year ago
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    I did. Thanks again. :)

  29. anonymous
    • one year ago
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    No problem! :)

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