How do you solve recipe question in math

Question

Martha found her favorite recipe for meatballs which serves 8 people.  Here's the recipe:

1 can (20 ounces) crushed pineapple, drained 1 egg

1 package  (20 ounces) ground chicken

3/4 cup sliced green onions

1/2  teaspoon  ground nutmeg

1/2 cup teriyaki sauce

1 teaspoon ground ginger

2 table spoons orange marmalade

Martha is making the meatballs today, just enough for her friends who are coming for dinner. So she is using 7/8 cup of teriyaki sauce.

Tell how many people it will serve. Show how you got your anwer

Tell how much of each ingredient will she use. Make sure you show an label your work.

Explain your strategy. Why did you do what you did?

Answer 1

Ok, so you know the recipe serves 8 people. 

You are told that she is making enough to serve her friends, so she is changing the recipe. If she wanted to serve twice as many people, she would twice as much of each ingredient.

She uses 7/8 cup of teriyaki sauce. In the original how much teriyaki did she use?    1/2 cup

So you need to find out what factor she is multiplying by to get from 1/2 to 7/8. When you find that factor you can multiply that same factor by 8 to get the number of people her recipe serves.

So, to solve this problem you need to figure out (1/2)* x = (7/8)  or you can write it (x/2) = (7/8).

Multiply both sides by 2,

x = (7/8)*2

x = 14/8

(14/8)*(8 people) = 14 people served by her recipe.