Question

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

Answer 1

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

$\frac{12}{1\frac{3}{4}}=\frac{30}{x}\\\\x=30(1\frac{3}{4})/12$

Convert mixed number to an improper fraction

$1\frac{3}{4}=1+\frac{3}{4}=\frac{7}{4}$

substitute

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

convert to mixed number

$\frac{210}{48}=\frac{192}{48}+\frac{18}{48}=4\frac{3}{8}\ cups\ of\ flour$