Answer:
to serve hot chocolate to 14 people, you need:
7/6 cups boiling water
12.25 cups milk
2 5/8 teaspoons vanilla
7/4 half & half cream
To serve cookies to 14 people you need:
2.4 (rounded) cups flour
7/8 teaspoon baking soda
7/16 teaspoon baking powder
7/8 cup butter
21/16 cups white sugar
Explanation:
The regular recipe for hot chocolate serves 4 people. But 14 are being served; 14 is 3.5 times as much as 4, so multiply the measurements by 3.5.
The recipe for cookies makes 16 servings of 3 cookies (4 dozen total), so you must use slightly smaller quantities. 14 is 7/8 as much as 16, so just multiply the measurements by 7/8.