Respuesta :
Proportions
All of the ingredients are given in amounts enough to make 3 dozen cookies. But we want to know how much of them are required to make 4 dozen cookies.
Following the proportions rules, if we want 4 and have 3, the adjustment must be 4 / 3, or four thirds.
For example, if you use 6 eggs for 3 dozen cookies, you now need 6*4/3=8 eggs.
This proportion will be applied to all of the ingredients as follows.
We needed 1 and 3/4 cups of vegetable oil. Expressing that as a single fraction:
[tex]1+\frac{3}{4}=\frac{7}{4}[/tex]The new amount of vegetable oil will be:
[tex]\frac{4}{3}\cdot\frac{7}{4}=\frac{7}{3}=\frac{6+1}{3}=2\frac{1}{3}[/tex]We now need 2 and 1/3 cups of vegetable oil.
It's required to use 2 and 1/4 teaspoons of almond extract. Expressing as a single fraction:
[tex]2+\frac{1}{4}=\frac{9}{4}[/tex]The new amount of almond extract is:
[tex]\frac{4}{3}\cdot\frac{9}{4}=3[/tex]Now we need exactly 3 teaspoons of almond extract.
Finally, the recipe required 2 and 1/2 teaspoons of cinnamon. The equivalent fraction is:
[tex]2+\frac{1}{2}=\frac{5}{2}[/tex]This means the new amount of cinnamon is:
[tex]\frac{4}{3}\cdot\frac{5}{2}=\frac{10}{3}=\frac{9+1}{3}=3\frac{1}{3}[/tex]We now need 3 and 1/3 teaspoons of cinnamon.
Summarizing, for 4 dozen cookies we need:
2 and 1/3 cups of vegetable oil
3 teaspoons of almond extract
3 and 1/3 teaspoons of cinnamon
