PLEASE HELP! EXPLAIN EQUATION.

Question

Shown below is a muffin recipe that yields 36 muffins.

Doughnut Muffins	cups flour	1 cup oil
teaspoons baking powder	cups sugar
teaspoons salt	3 eggs
teaspoons nutmeg	cups milk
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

So the recipe calls for 36 muffins but Donna only wants to make 12.

36/12= 3, which means we have to cut the recipe in thirds

I'll shows you how to do this with the baking powder.

Originally it is 4 1/2 teaspoons. What I like to do is convert that into an improper fraction, to me they are easier to work with. To do this you multiple the whole number by the denominator and then add the numerator, this number is then placed over the denominator. Like this:

4* 2= 8 +1 = 9 --- therefore our new fraction is 9/2 which is the same as 4 1/2

When we are dividing fractions its easier to multiply by the reciprocal. So instead of dividing 9/2 by 3 my multiply it by 1/3.

9/2 * 1/3 = 9/6 --- when multiplying we can just multiply across

now reduce--- 9/6= 3/2 ( I just divided both numbers by 3)

now we need to turn this back into a mixed fraction-- 3/2 - 2/2(this is 1) = 1/2 (put the 1 we took out in front)

1 1/2 teaspoons of baking soda for 12 muffins.

You will just repeat the same steps for each ingredient.

Hope this helps!

Answer 2

First, lets figure out how much we will need to reduce recipe: the original recipe will make 36 muffins, but Donna only wants 12 muffins. 12/36 = 1/3. Therefore we want to make one third of the recipe.

Next, lets take the mixed faction and convert it into an improper fraction:

Baking Soda: 4 1/2 will become 9/2 (because 4X2 = 8+1 = 9)

Salt: 1 1/2 will become 3/2

and so on...

This will make it easier to multiply which is the next step. Now we want to multiply the measurements by 1/3 (since we only want 1/3 of the recipe!) So...

Baking Soda: 1/3 X 9/2 = 9/6

1 9 9

___ X ____ = _____

3 2 6

We can now simplify 9/6 to 3/2 since both numbers are divisible by 3.

Lastly, convert 3/2 into a mixed fraction --> 1 1/2 teaspoons of baking powder