Question

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?

Answer 1

`4(3)/(8)` cups of flour

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

`(2)/(3):12=(2)/(3)\cdot (1)/(12)=(1)/(18)`

cup of milk for every

`1(3)/(4):12=(7)/(4)\cdot (1)/(12)=(7)/(48)`

cups of flour.

Thus,

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

`(1)/(18)\cdot 30=(5)/(3)=1(2)/(3)`

cups of milk for every

`(7)/(48)\cdot 30=(210)/(48)=(35)/(8)=4(3)/(8)`

cups of flour.