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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- Nov 4th 2008, 11:04 AMIDontunderstandI 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 - Nov 4th 2008, 11:47 AMSoroban
Hello, IDontunderstand!

You can**talk**your way through it . . .

Quote:

If 7 women bake 24 dozen cookies in 3 hours.

How long will it take 2 women to bake 24 dozen cookies?

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

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

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

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

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

- Nov 4th 2008, 11:50 AMmasters
See if this chart helps.

Code:

Women Doz Cookies Hours

------- ---------- ------

7 24 3

**7 24/3 1**

2 24 x

**2 24/x 1**

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