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
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
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}} $
See if this chart helps.
Soroban, your approach was much simpler than mine. I was thinking about setting up a proportion like:Code:Women Doz Cookies Hours ------- ---------- ------ 7 24 3 7 24/3 1 2 24 x 2 24/x 1
$\displaystyle \frac{7}{8}=\frac{2}{\frac{24}{x}}$