Results 1 to 5 of 5

Math Help - Constructing simultaneous Equations

  1. #1
    Junior Member 22upon7's Avatar
    Joined
    Nov 2008
    Posts
    60

    Constructing simultaneous Equations

    I'm trying to work this sum out,

    A party was organized for thirty people at which they could have either a hamburger or a pizza. If there were five times as many hamburgers as pizzas calculate the number of each.

    I've been trying to work out and answer for over half an hour now but so far I could only come up with

    x  = number of pizzas
    y   = number of hamburgers

    Equation 1 :
    x+y=30

    Equation 2:
    5x-y=0

    Is this correct?
    Last edited by 22upon7; January 20th 2009 at 02:07 PM. Reason: worked the sum out a bit more
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Super Member
    Joined
    Dec 2008
    From
    Scotland
    Posts
    901
    Quote Originally Posted by 22upon7 View Post
    I'm trying to work this sum out,

    A party was organized for thirty people at which they could have either a hamburger or a pizza. If there were five times as many hamburgers as pizzas calculate the number of each.

    I've been trying to work out and answer for over half an hour now but so far I could only come up with

    x  = number of pizzas
    5x   = number of hamburgers

    But that's obviously not right. I can't seem to find a value for y or a way to construct the simultaneous equation.
    You shouldn't use x to stand for both pizzas AND hamburgers.

    Let x be number if hamburgers and y be number of pizzas.

    There are 30 people in total, and they only have one, so the total number of hamburgers PLUS pizzas is 30.

     x + y = 30

    And, as stated, there are 5 times as many hamburgers as pizzas, so:

     x = 5y
    Last edited by Mush; January 20th 2009 at 03:13 PM.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Super Member

    Joined
    May 2006
    From
    Lexington, MA (USA)
    Posts
    11,738
    Thanks
    644
    Hello, 22upon7!

    Your heading was "simultaneous equations",
    so I assume we want to construct a system of equations.


    A party was organized for thirty people at which they could have either a hamburger or a pizza.
    If there were five times as many hamburgers as pizzas calculate the number of each.

    Let H = number of hamburgers.
    Let P = number of pizzas.

    Then we have: . \begin {array}{c}H + P \:=\:30 \\ H \:=\:5P \end{array}


    Now solve the system: . \begin{array}{ccc}H + P &=& 30 \\ H - 5P &=& 0\end{array} . by your favorite method.

    Follow Math Help Forum on Facebook and Google+

  4. #4
    Junior Member 22upon7's Avatar
    Joined
    Nov 2008
    Posts
    60
    Quote Originally Posted by Mush View Post
    You shouldn't use x to stand for both pizzas AND hamburgers.

    Let x be number if pizzas and y be number of hamburgers.

    There are 30 people in total, and they only have one, so the total number of hamburgers PLUS pizzas is 30.

     x + y = 30

    And, as stated, there are 5 times as many hamburgers as pizzas, so:

     x = 5y
    Thanks for that I just worked the sum a but more and got it, your answer confirms it. Thanks again!
    Follow Math Help Forum on Facebook and Google+

  5. #5
    Junior Member 22upon7's Avatar
    Joined
    Nov 2008
    Posts
    60
    Quote Originally Posted by Soroban View Post
    Hello, 22upon7!

    Your heading was "simultaneous equations",
    so I assume we want to construct a system of equations.



    Let H = number of hamburgers.
    Let P = number of pizzas.

    Then we have: . \begin {array}{c}H + P \:=\:30 \\ H \:=\:5P \end{array}


    Now solve the system: . \begin{array}{ccc}H + P &=& 30 \\ H - 5P &=& 0\end{array} . by your favorite method.

    Thanks
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Simultaneous Equations 4 variables, 4 equations
    Posted in the Pre-Calculus Forum
    Replies: 3
    Last Post: December 7th 2011, 04:06 PM
  2. simultaneous equations
    Posted in the Algebra Forum
    Replies: 2
    Last Post: October 19th 2009, 04:50 AM
  3. Constructing Linear Equations
    Posted in the Algebra Forum
    Replies: 1
    Last Post: July 2nd 2009, 08:20 PM
  4. Replies: 3
    Last Post: February 27th 2009, 07:05 PM
  5. Simultaneous Equations Help
    Posted in the Algebra Forum
    Replies: 1
    Last Post: January 27th 2009, 05:58 PM

Search Tags


/mathhelpforum @mathhelpforum