Question

A trail mix recipe asks for 4 cups of raisins for every 6 cups of peanuts. There is proportional relationship between the amount of raisins, r (cups), and the amount of peanuts, p (cups), in this recipe.

Answer 1

If you put 6 serving of raisins in the mix and 4 servings of peanuts you will have an equal amout of each.

Answer 2

Answer:

$r=\dfrac{2}{3}p$

Step-by-step explanation:

A trail mix recipe asks for 4 cups of raisins for every 6 cups of peanuts.

There is proportional relationship between the amount of raisins, r (cups), and the amount of peanuts, p (cups), in this recipe.

The ratio of raisins and peanuts = 4:6  or 2:3

It would be same for every mixture.

If r cups of raisins and p cups of peanuts then their mixture ratio is r:p

Therefore,

$\dfrac{r}{p}=\dfrac{2}{3}$

$r=\dfrac{2}{3}p$