Question

A small batch of trail mix contains 2 cups of raisins, 2 cups of peanuts, 1 cup of sunflower seeds, and 1 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 the large batch?

Answer 1

Answer:

4 CUPS OF SUNFLOWER SEEDS for the larger batch

Step-by-step explanation:

From the small batch:

2 cups of peanuts= 1 cup of sunflower seeds

Since the ratios are thesame, it therefore means that the proportion will be thesame.

For the large batch:

8 cups of peanuts = X cups of sunflower seeds.

Mathematically, let's express it as:

Let p = cups of peanuts

S= cups of sunflower seeds

X = unknown number of sunflower seeds

Therefore, connecting equation is:

2P = 1S

8P = X's

Cross Multiply to solve for X

X's * 2P = 1S * 8P

2PX = 8P

X = 8P / 2P

It therefore means that there'll be a need of:

4 CUPS OF SUNFLOWER SEEDS for the larger batch