A muffin recipe, which yields 12 muffins, calls for 2/3 cup of milk for every 1 3/4 cups of flour. The same recipe calls for 1/4 cup of coconut for every 3/4 cup of chopped apple. To yield a batch of 30 muffins, how much flour will be needed in the mix?

Respuesta :

frika

Answer:

[tex]4\dfrac{3}{8}[/tex] cups of flour

Step-by-step explanation:

A muffin recipe, which yields 12 muffins, calls for 2/3 cup of milk for every 1 3/4 cups of flour.

Then this recipe, which yields one muffin, calls for

[tex]\dfrac{2}{3}:12=\dfrac{2}{3}\cdot \dfrac{1}{12}=\dfrac{1}{18}[/tex]

cup of milk for every

[tex]1\dfrac{3}{4}:12=\dfrac{7}{4}\cdot \dfrac{1}{12}=\dfrac{7}{48}[/tex]

cups of flour.

Thus,

this recipe, which yields a batch of 30 muffins, calls for

[tex]\dfrac{1}{18}\cdot 30=\dfrac{5}{3}=1\dfrac{2}{3}[/tex]

cups of milk for every

[tex]\dfrac{7}{48}\cdot 30=\dfrac{210}{48}=\dfrac{35}{8}=4\dfrac{3}{8}[/tex]

cups of flour.