Question

This recipe makes 20 cupcakes. Deepak only wants to make 16 cupcakes. How much of each ingredient does he need? Recipe: Makes 20 cupcakes 12 ounces butter 10 ounces sugar 15 ounces flour 5 eggs

Answer 1

Answer:

- 9.6 oz butter

- 8 oz sugar

- 12 oz flour

- 4 eggs

Step-by-step explanation:

We know that for 20 cupcakes, we need the following amount for each ingredient:

- 12 oz butter

- 10 oz sugar

- 15 oz flour

- 5 eggs

We now only want 16 cupcakes. To find how much of each ingredient we need, let's write a proportion for each. Say b is the amount of butter we need, s is the amount of sugar, f is flour, and e is eggs:

16 cupcakes / 20 cupcakes = b oz butter / 12 oz butter

16 cupcakes / 20 cupcakes = s oz sugar / 10 oz sugar

16 cupcakes / 20 cupcakes = f oz flour / 15 oz flour

16 cupcakes / 20 cupcakes = e eggs / 5 eggs

These turn out to become:

20b = 16 * 12  ⇒  b = 9.6 oz butter

20s = 16 * 10  ⇒  s = 8 oz sugar

20f = 16 * 15  ⇒  f = 12 oz flour

20e = 16 * 5  ⇒  e = 4 eggs

Thus, our answers are:

- 9.6 oz butter

- 8 oz sugar

- 12 oz flour

- 4 eggs

~ an aesthetics lover

Answer 2

Answer: 9.6 ounces of butter, 8 ounces of sugar, 12 ounces of flour, 4 eggs

Step-by-step explanation: 20 / 16 = 4/5. 16 is four-fifths of 20. So multiply 4/5 with everything.

12 * 4/5 = 9.6 ounces

10 * 4/5 = 8 ounces

15 * 4/5 =  12 ounces

5 * 4/5 = 4 eggs