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Math Help - Money problems

  1. #1
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    Smile Money problems

    Can you please help me solve questions 18 and 20 by using substitution or elimination method.
    http://img230.imageshack.us/img230/4372/mathyv1.jpg
    Thanks
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by dgolverk View Post
    Can you please help me solve questions 18 and 20 by using substitution or elimination method.
    http://img230.imageshack.us/img230/4372/mathyv1.jpg
    Thanks
    I don't know about anyone else but I can't read the text in your jpg.

    RonL
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  3. #3
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    Smile sorry about that...

    here are the questions:
    1)You are starting a business that sells air filters for homes. Your startup costs for the business are $1250 and each air filter kit costs $40.
    If you sell the filters for $60, how many must you sell to break even?

    2)If you buy 7 hmaburgers and 3 slices of pizza from Sizzler, you get $1 change from $20 bill. If you buy 8 hamburgers and 2 slices of pizza, you get $0.50 back from a $20 bill. How much change would you get from a $20 bill if you bought 3 slices of pizza and 5 hamburgers?

    Thanks again!
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  4. #4
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    Quote Originally Posted by dgolverk View Post
    here are the questions:
    1)You are starting a business that sells air filters for homes. Your startup costs for the business are $1250 and each air filter kit costs $40.
    If you sell the filters for $60, how many must you sell to break even?
    I will use "substitution" since I believe that's what your teacher wants...

    The amount of money you pay equals $1250 plus $40 per filter.

    y=the amount of money
    x=filters

    Thus you have equation: y=40x+1250

    The amount of money you make is equal to $60 per filter: y=60x

    To braek even, the amount of money you make must equal the amount of money you spent, thus: 40x+1250=60x

    now subtract both sides by 40x: 1250=20x

    Now divide both sides by 20: 62.5=x

    So you need to sell 62.5 filters to break even, which you can't do, so you sell 30 filters to break even.

    2)If you buy 7 hmaburgers and 3 slices of pizza from Sizzler, you get $1 change from $20 bill.
    7h+3p=19
    Solve for p to get: p=(19-7h)/3
    If you buy 8 hamburgers and 2 slices of pizza, you get $0.50 back from a $20 bill.
    8h+2p=19.5

    Solve for p to get: p=(19.5-8h)/2

    Substitute: (19-7h)/3=(19.5-8h)/2

    solve for h, then substitute that value into one of the equations to find the price of hamburgers, than subtract the price of 3 slices of pizza and 5 hamburgers from 20.
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  5. #5
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    Thanks!
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