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?
A.
270
B.
200
C.
300
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