Question

a small batch of Trail Mix contains 2 cups of raisins, two cups of peanuts, one cup of sunflower seeds, and one cup of chocolate coated candies. A large batch has the same ratio of ingredients as a small batch. If the large batch has 8 cups of peanuts, how many cups of sunflower seeds are in a large batch?

Answer 1

4 cups of sunflower seeds in a large batch

Step-by-step explanation:

Small batch:

cups of raisins = 2

cups of peanuts = 2

cup of sunflower seeds = 1

cup of chocolate coated candies = 1

The ratio: 2:2:1:1

Large batch:

cups of peanuts = 8

cups of sunflower seeds are in a large batch = ?

From the small batch, we know for every 1 cup of sunflower seeds, we would have 2 cups of peanuts.

let the number of cup of sunflower seeds used in large batch = y

1 cup of sunflower seeds = 2 cups of peanuts

y = 8 cups of peanuts

cross multiply:

1(8) = 2(y)

8 = 2y

Divide both sides by 2:

8/2 = 2y/2

4 = y

Hence, the number of cups of sunflower seeds in a large batch is 4