Question

Eli is making a party mix that contains pretzels and chex. For each cup of pretzels, he uses 3 cups of chex. How many cups of pretzels and how many cups of chex does he need to make 12 cups of party mix?

Answer 1

3 cups of pretzels and 9 cups of chex he will need.

Explanation:

Ratio of pretzel to chex = 1:3

Let the cup of pretzel be 1x

Let the cup of chex be 3x

1 x+ 3x = 12

4x = 12

`x=(12)/(4)=3`

Cups of pretzel required = 1x = 1 × 3 = 3

Cups of chex required = 3x = 3 × 3 = 9

Answer 2

So for every one cup of pretzels (1p)
You have three cups of chex (3c)

The ratio between pretzels and chex is 1p:3c

Thus, changes in 1 is proportional with changes in 3.

You need a total of 12 cups of party mix. The sum of the ratio 1 cup of pretzels and 3 cups of chex is 4.

So you would need 3 cups of pretzels and 9 cups of chex for the ratio to equal a sum of 12.

Thus the answer is 3p:9c