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
D.
480
To find the best prediction for the total number of blue candies in the bag, we can assume that the ratio of blue candies to the total number of candies in Seth's handful is the same as the ratio of blue candies to the total number of candies in the bag.
The ratio of blue candies to the total candies in Seth's handful is 15/40 (since there are 15 blue candies and a total of 12+15+6+7=40 candies in Seth's handful).
We can set up the equation (15/40) = (x/800), where x represents the total number of blue candies in the bag.
To solve for x, we can cross multiply and then divide: (15/40) * 800 = x.
x = 300.
Therefore, the best prediction for the total number of blue candies in the bag is 300.
The answer is C. 300.