# Thread: I dont remember how to do this

1. ## 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

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

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

3. Originally Posted by IDontunderstand
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:

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