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    survivorboi's Avatar
    survivorboi Posts: 431, Reputation: 9
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    #1

    Feb 8, 2009, 05:12 PM
    putting this into an equation
    This is the problem:

    There are a total of 19 ghosts, witches & scarecrows. The number of witches is 6 more than the number of ghosts. The number of scarecrows is 2 less than the number of witches. How many of each will you find?

    I read from one of the posts that you should put the words into variables:

    g+w+s=19

    How can I put "the number of witches is 6 more than the number of ghost"? Is it like:
    w=(6+g)

    Then, scarecrows
    s=(w-2)

    So this is the equation so far:

    (6+g)+(w-2)+g=19

    What do I do next? Please give as simply as possible explanation, thank you! :D
    rwinterton's Avatar
    rwinterton Posts: 289, Reputation: 15
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    #2

    Feb 9, 2009, 07:57 AM

    You've figured out how to write the equations:

    g+w+s=19 (Equation 1)
    w=(6+g) (Equation 2)
    s=(w-2) (Equation 3)


    You now have three *independent* equations and three unknowns. That is always solvable.

    In this case, I'd recommend trying to use "substitution". Equations 2 and 3 are already in a form that you can substitute for w and s, directly. Try it, one equation at a time and simplify until you have only one variable to solve for. If you have any problems, I'll show you how to solve it.

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