Eli is making a party mix that contains pretzels and chex. For each cup of pretzels, he uses three cups of chex. How many cups of pretzels and how many cups of chex does he need to make 12 cups of party mix?
For each cup of pretzels, Eli uses three cups of chex. This means that the proportion of pretzels to chex is 1:3. We can use this proportion to find how many cups of each ingredient he needs to make 12 cups of party mix.
Let's start by finding how many cups of chex Eli needs. Since the proportion of chex to pretzels is 3:1, for each 3 cups of chex, Eli will use 1 cup of pretzels. Therefore, if he needs 12 cups of party mix, he will need:
3 cups of chex for each 1 cup of pretzels
3 * 4 cups of chex for 4 cups of pretzels
12 cups of chex for the 4 cups of pretzels
So Eli will need 4 cups of pretzels and 12 cups of chex to make 12 cups of party mix.