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

b) 4 3/8

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

`(12)/(1(3)/(4))=(30)/(x)\\\\x=30(1(3)/(4))/12`

Convert mixed number to an improper fraction

`1(3)/(4)=1+(3)/(4)=(7)/(4)`

substitute

`x=30((7)/(4))/12\\\\x=(210)/(48)\ cups\ of\ flour`

convert to mixed number

`(210)/(48)=(192)/(48)+(18)/(48)=4(3)/(8)\ cups\ of\ flour`