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A muffin recipe, which yields 12 muffins, calls for 2/4 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?
a) 6 6/7
b) 4 3/8
c)52 1/2
d) 17 1/7

Respuesta :

calculista

Answer:

b) 4 3/8

Step-by-step explanation:

we know that

12 muffins calls for 1 3/4 cups of flour

using proportion

Find out how much flour will be needed in the mix for a bath of 30 muffins

[tex]\frac{12}{1\frac{3}{4}}=\frac{30}{x}\\\\x=30(1\frac{3}{4})/12[/tex]

Convert mixed number to an improper fraction

[tex]1\frac{3}{4}=1+\frac{3}{4}=\frac{7}{4}[/tex]

substitute

[tex]x=30(\frac{7}{4})/12\\\\x=\frac{210}{48}\ cups\ of\ flour[/tex]

convert to mixed number

[tex]\frac{210}{48}=\frac{192}{48}+\frac{18}{48}=4\frac{3}{8}\ cups\ of\ flour[/tex]

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