Question

Shown below is a muffin recipe that yields 36 muffins FAST you can get 85

points


Doughnut Muffins
5 1/4 cups flour 1 cup oil
4 1/2 teaspoons baking powder cups sugar
1 1/2 teaspoons salt 3 eggs
1 1/2 teaspoons nutmeg cups milk
3/4 teaspoon cinnamon

Combine flour, baking powder, salt, nutmeg, and cinnamon in a bowl. In another bowl, combine oil, sugar, egg, and milk. Add liquid ingredients to dry ingredients; stir only to combine. Bake in paper-lined muffin tins at 350° for 20 to 25 minutes.
Donna wants to make a batch of doughnut muffins that only yields 12 muffins. Modify the recipe for her, making sure to include new measurements of every ingredient.

Answer 1

yeilds 36 muffins

wants 12 muffins

ratio and proportion

if we need x of an ingredient to make 36 muffins, we will need y of that ingredient to make 12 muffins

x:36=y:12

x/36=y/12

we know x and want to find y

solve for y

multiply both sides by 12

12x/36=y

x/3=y

(1/3)x=y

we multiply each ingredient by 1/3

it helps to convert each quantity to a/b form first

flour

5 and 1/4=5+1/4=16/4+1/4=17/4

17/4*1/3=17/12=12/12+5/12=1 and 5/12 cups flour

oil

1 times 1/3=1/3 cup oil

baking powder

4 and 1/2=4+1/2=8/2+1/2=9/2

9/2*1/3=9/6=3/2=2/2+1/2=1 and 1/2 cup baking powder

sugar

dunno how many cups you have, but you need 1/3 of that

salt

1 and 1/2=1+1/2=2/2+1/2=3/2

3/2*1/3=3/6=1/2 teaspoons salt

eggs

3*1/3=3/3=1 egg

nutmeg

1 and 1/2=1+1/2=2/2+1/2=3/2

3/2*1/3=3/6=1/2 teaspoons nutmeg

milk

dunno how much milk, but use 1/3 of that

cinnamon

3/4*1/3=3/12=1/4 teaspoon cinnamon

Answer 2

a muffin recipe that yields 36 muffins n only wants 12 muffins so the new recipe must be 12/36 = 1/3 of the original

new Doughnut Muffins

(5 1/4)/3=(21/4)/3=7/4= 1 3/4 cups flour

1/3 cup oil

(4 1/2)/3=(9/2)/3=3/2= 1 1/2 teaspoons baking powder cups sugar

(1 1/2)/3=(3/2)/3= 1/2 teaspoons salt

3/3= 1 eggs

(1 1/2)/3= 1/2 teaspoons nutmeg cups milk

(3/4)/3 = 1/4 teaspoon cinnamon