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Math Help - Algebra Questions

  1. #1
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    Algebra Questions

    Hi, i'm stuck on some questions that i need answered.

    I have 3 questions i need help with.

    I'm not sure where to start in order to answer the question.
    I also have to show working.

    What is a% of b% of c% of 1000 000?

    Solve for x and y:

    2x - 3y = 8 ....................(1)
    5x + 2y = 31.4 ...............(2)

    And

    a) The store orders twice as many four burner BBQs as six burner BBQs. Each four burner BBQ is priced at $299 whilst each six burner BBQ is $450. The total bill for the order is $14 824 which includes a freight charge of $1 200.
    Use algebra to determine the number of four burner and six burner BBQs ordered.
    Let x = total of four burners, y = total of six burners
    $14 824 = (x*299)+(y*450)+1200
    $13 624 = (x*299)+(y*450)
    $13 624 = 299x + 450y

    Please help.
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  2. #2
    Super Member Anonymous1's Avatar
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    Quote Originally Posted by wheelsfire View Post

    What is a% of b% of c% of 1000 000?
    ----------------------------------------------------------------------------------

    \frac{a}{100}\cdot \frac{b}{100}\cdot \frac{c}{100}\cdot 1,000,000 = a\cdot b \cdot c.

    ----------------------------------------------------------------------------------
    Solve for x and y:

    2x - 3y = 8 ....................(1)
    5x + 2y = 31.4 ...............(2)
    ----------------------------------------------------------------------------------

    \frac{2}{3}\cdot(1)

    \Rightarrow \frac{4}{3}x - 2y = \frac{16}{3} \rightarrow (3)

    (3) + (2)

    \Rightarrow \frac{19}{3}x = \frac{551}{15}

    Now solve for x and sub it back into (2) to find y.

    ----------------------------------------------------------------------------------
    aNon1
    Last edited by Anonymous1; May 4th 2010 at 08:48 PM.
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  3. #3
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    Quote Originally Posted by wheelsfire View Post

    Solve for x and y:

    2x - 3y = 8 ....................(1)
    5x + 2y = 31.4 ...............(2)
    From (1) 2x - 3y = 8\implies 2x  = 8+3y \implies x  = 4+\frac{3y}{4}

    Now substitute this into (2) 5x + 2y = 31.4 \implies 5\left( 4+\frac{3y}{4}\right)  + 2y = 31.4

    Now solve for y
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  4. #4
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    who's answer is right? Anonmysus or pickslides?
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  5. #5
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    Quote Originally Posted by wheelsfire View Post
    who's answer is right? Anonmysus or pickslides?
    Two different methods. Mine is called 'substitution' method, Anon's is called the 'elimination' method, both will give you the correct answer. Your choice on which way to go.
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