A recipe for trail mix calls for 3 cups of raisins and 2 cups of peanuts. If you plan on using 15 cups of raisins, how many cups of peanuts do you need?

To find out how many cups of peanuts you need, you can set up a proportion since the ratio of raisins to peanuts remains constant.

Let's set up the proportion using the given information:

3 cups of raisins / 2 cups of peanuts = 15 cups of raisins / x cups of peanuts

Cross-multiplying, we have:

3 cups of raisins * x cups of peanuts = 2 cups of peanuts * 15 cups of raisins

Simplifying, we get:

3x = 30

Dividing both sides of the equation by 3, we have:

x = 10

Therefore, you would need 10 cups of peanuts to make the trail mix using 15 cups of raisins.

To find out how many cups of peanuts you need, you can set up a proportion based on the given information.

Let x represent the number of cups of peanuts you need.

According to the recipe, the ratio of raisins to peanuts is 3:2. So, you can set up the proportion:

3 cups of raisins / 2 cups of peanuts = 15 cups of raisins / x cups of peanuts

To solve this proportion, you can use cross-multiplication:

3 cups of raisins * x cups of peanuts = 15 cups of raisins * 2 cups of peanuts

3x = 30

Divide both sides of the equation by 3:

x = 10

Therefore, you will need 10 cups of peanuts for 15 cups of raisins.

simple ratio ....

p/15 = 2/3
p = (2/3)(15)
= ....

10