Answer:
Penny needs [tex]1\frac{7}{8}[/tex] cups of flour to make 3/4 of the recipe.
The recipe will make 18 cookies.
Step-by-step explanation:
We have been given that a recipe for oatmeal cookies makes 24 cookies. Penny wants to make 3/4 of the recipe.
To find the number of cookies that will 3/4 of the recipe will make, we need to find 3/4 of 24 as shown below:
[tex]\frac{3}{4}\text{ of recipe}=24\times \frac{3}{4}[/tex]
[tex]\frac{3}{4}\text{ of recipe}=6\times \frac{3}{1}[/tex]
[tex]\frac{3}{4}\text{ of recipe}=18[/tex]
Therefore, the recipe will make 18 cookies.
We are also told that recipe calls for 2 1/2 cups of flour. To find amount of flour needed for 3/4 of the recipe, we will multiply 2 1/2 cups by 3/4 as:
[tex]\text{Cups of flour needed to make 3/4 of recipe}=2\frac{1}{2}\times \frac{3}{4}[/tex]
[tex]\text{Cups of flour needed to make 3/4 of recipe}=\frac{5}{2}\times \frac{3}{4}[/tex]
[tex]\text{Cups of flour needed to make 3/4 of recipe}=\frac{5\times 3}{2\times 4}[/tex]
[tex]\text{Cups of flour needed to make 3/4 of recipe}=\frac{15}{8}[/tex]
[tex]\text{Cups of flour needed to make 3/4 of recipe}=1\frac{7}{8}[/tex]
Therefore, Penny needs [tex]1\frac{7}{8}[/tex] cups of flour to make 3/4 of the recipe.
