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Math Help - I dont remember how to do this

  1. #1
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    I dont remember how to do this

    If 7 women bake 24 dozen cookies in 3 hours. How long will it take 2 women to bake 24 dozen Christmas cookies for a bake sale?

    I dont remember how to start this problem to solve it. Thanks for the help it is greatly appricated
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  2. #2
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    Hello, IDontunderstand!

    You can talk your way through it . . .


    If 7 women bake 24 dozen cookies in 3 hours.
    How long will it take 2 women to bake 24 dozen cookies?

    We have: . \boxed{\begin{array}{c|c|c}\text{7 women} & \text{24 dozen cookies} & \text{3 hours} \end{array}}


    If there were only one women, it would take seven times as long.

    So we have: . \boxed{\begin{array}{c|c|c}\text{1 woman} & \text{24 dozen cookies} & \text{21 hours} \end{array}}


    If there were twice as many women, it would take half as long.

    Therefore: . \boxed{\begin{array}{c|c|c}\text{2 women} & \text{24 dozen cookies} & {\color{blue}10\frac{1}{2}\text{ hours}} \end{array}}

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  3. #3
    A riddle wrapped in an enigma
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    Quote Originally Posted by IDontunderstand View Post
    If 7 women bake 24 dozen cookies in 3 hours. How long will it take 2 women to bake 24 dozen Christmas cookies for a bake sale?

    I dont remember how to start this problem to solve it. Thanks for the help it is greatly appricated
    See if this chart helps.

    Code:
     
    Women   Doz Cookies   Hours
    ------- ----------   ------
        7     24           3
        7    24/3          1
        2     24           x
        2    24/x          1
    Soroban, your approach was much simpler than mine. I was thinking about setting up a proportion like:

    \frac{7}{8}=\frac{2}{\frac{24}{x}}
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