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LenaWriter [7]
3 years ago
7

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?
Mathematics
1 answer:
djyliett [7]3 years ago
4 0

Answer:

4\dfrac{3}{8} 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

\dfrac{2}{3}:12=\dfrac{2}{3}\cdot \dfrac{1}{12}=\dfrac{1}{18}

cup of milk for every

1\dfrac{3}{4}:12=\dfrac{7}{4}\cdot \dfrac{1}{12}=\dfrac{7}{48}

cups of flour.

Thus,

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

\dfrac{1}{18}\cdot 30=\dfrac{5}{3}=1\dfrac{2}{3}

cups of milk for every

\dfrac{7}{48}\cdot 30=\dfrac{210}{48}=\dfrac{35}{8}=4\dfrac{3}{8}

cups of flour.

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