Laura was making a recipe that said the ingredients were for 6 people, but she needed to make it for 8 people. the recipe called for 2 2/3 cups of milk and 1/4 cup of oil. how many cups of liquid ingredients did she need for 8 people?

You can use a proportion for each ingredient.

Milk:
2 2/3 cup are to 6 people as x cups are to 8 people

(2 2/3)/6 = x/8

(8/3)/6 = x/8

6x = 8 * 8/3

6x = 64/3

x = 32/9 = 3 5/9

3 5/9 cups of milk

Oil:
1/4 cup is to 6 people as x cups are to 8 people

(1/4)/6 = x/8

6x = 8 * 1/4

6x = 2

x = 2/6 = 1/3

1/3 cup of milk