To determine which set of ingredients is proportional to the pancake recipe, we need to compare the ratios of baking mix, milk, and eggs in each option to the original recipe's ratio of 4 parts baking mix, 3 parts milk, and 1 egg.
Let's break down the original recipe:
- Baking mix : Milk : Egg = 4 : 3 : 1
Now, let's analyze each option:
A) 20 parts baking mix, 15 parts milk, and 3 eggs
Baking mix : Milk : Egg = 20 : 15 : 3
Simplifying the ratio gives us 20/5 : 15/5 : 3/3 = 4 : 3 : 1
Option A is proportional to the original recipe.
B) 18 parts baking mix, 16 parts milk, and 4 eggs
Baking mix : Milk : Egg = 18 : 16 : 4
Simplifying the ratio gives us 18/2 : 16/2 : 4/4 = 9 : 8 : 1
Option B is not proportional to the original recipe.
C) 16 parts baking mix, 12 parts milk, and 4 eggs
Baking mix : Milk : Egg = 16 : 12 : 4
Simplifying the ratio gives us 16/4 : 12/4 : 4/4 = 4 : 3 : 1
Option C is proportional to the original recipe.
D) 15 parts baking mix, 15 parts milk, and 5 eggs
Baking mix : Milk : Egg = 15 : 15 : 5
Simplifying the ratio gives us 15/5 : 15/5 : 5/5 = 3 : 3 : 1
Option D is not proportional to the original recipe.
E) 12 parts baking mix, 9 parts milk, and 3 eggs
Baking mix : Milk : Egg = 12 : 9 : 3
Simplifying the ratio gives us 12/3 : 9/3 : 3/3 = 4 : 3 : 1
Option E is proportional to the original recipe.
Therefore, the sets of ingredients that are proportional to the pancake recipe are:
- Option A: 20 parts baking mix, 15 parts milk, and 3 eggs
- Option C: 16 parts baking mix, 12 parts milk, and 4 eggs
- Option E: 12 parts baking mix, 9 parts milk, and 3 eggs
