Respuesta :
Given the following question:
We are given a cookie recipe that takes 5/3 cups of sugar, 4 eggs, 8/3 tbs salt, 10/3 cup of chocolate chips to make.
We need to come up with a new recipe to be able to make 4 batches of cookies, to find this answer we multiply the fractions by 4, since we are trying to make 4 batches of cookies.
[tex]\begin{gathered} \frac{5}{3},4,\frac{8}{3},\frac{10}{3} \\ \frac{5}{3}\times4 \\ 4=\frac{4}{1} \\ \frac{5}{3}\times\frac{4}{1}=\frac{20}{3}=20\div3=6\frac{2}{3} \\ \frac{8}{3}\times\frac{4}{1}=\frac{32}{3}=32\div3=10\frac{2}{3} \\ \frac{10}{3}\times\frac{4}{1}=\frac{40}{3}=13\frac{1}{3} \\ 4\times4=16 \\ \end{gathered}[/tex]We need 6 2/3 cups of sugar, 16 eggs, 10 2/3 tbs of salt, and 13 1/3 chocolate chips to make four batches of cookies.
Now for the second question:
We now want a recipe to only make enough cookies for just you, and we want to make 1/2 the orginal recipe, to make this new recipe.
To find the answer we divide the recipe by 1/2.
[tex]\begin{gathered} \frac{5}{3},4,\frac{8}{3},\frac{10}{3} \\ \frac{5}{3}\div\frac{1}{2}=\frac{5}{3}\times\frac{2}{1}=\frac{10}{3}=3\frac{1}{1} \\ 4\div2=2 \\ \frac{8}{3}\div\frac{1}{2}=\frac{8}{3}\times\frac{2}{1}=\frac{16}{3}=5\frac{1}{3} \\ \frac{10}{3}\div\frac{1}{2}=\frac{10}{3}\times\frac{2}{1}=\frac{20}{3}=6\frac{2}{3} \end{gathered}[/tex]
