A large bag contains red, blue, green, and yellow candies. Seth grabbed a handful and counted 12 red, 15 blue, 6 green, and 7 yellow candies. If the bag contains a total of 800 candies, which is the best prediction for the total number of blue candies in the bag?

Question

A.
270

B.
200

C.
300

Answer 1

To find the best prediction for the total number of blue candies in the bag, we can use proportions.

Let's set up a proportion:
Number of blue candies / Total number of candies = Number of blue candies in Seth's handful / Total number of candies in Seth's handful

Let x be the total number of blue candies in the bag.
We can set up the proportion as follows:

x / 800 = 15 / (12 + 15 + 6 + 7)

Simplifying the equation:
x / 800 = 15 / 40

Cross-multiplying:
40x = 15 * 800

Solving for x:
x = (15 * 800) / 40
x = 300

Therefore, the best prediction for the total number of blue candies in the bag is 300.

Answer: C. 300