Ms.Cantu pulled 20 candies out of a bowl at random. She recorded the results in the table,and then she placed the candies back in the bowl.
Sweet=9
Sour=2
Licorice=5
Mint=4
If Ms.Cantu pulls 5 more candies,which is the most reasonable prediction of the number of candies that will be mint?
A.1
B.2
C.3
D.5
A? Because the fraction would be 4/20 and it simplifies to 1/5
Right!
To determine the most reasonable prediction for the number of mint candies Ms. Cantu will pull out of the bowl, we can look at the data provided.
Out of the initial 20 candies pulled by Ms. Cantu, there were 4 mint candies. So the probability of pulling a mint candy is 4/20.
Now, if Ms. Cantu is going to pull 5 more candies, we can extend this probability to make a prediction.
To do that, we can set up a proportion:
(Number of mint candies / Total number of candies) = (Probability of pulling mint candies / Total number of candies)
Let's use "x" to represent the number of mint candies in the 5 additional candies Ms. Cantu will pull out, and the total number of candies will be 20 + 5 = 25.
Using the proportion:
x / 25 = 4 / 20
Now, we can solve for "x":
20x = 100
x = 100 / 20
x = 5
Therefore, the most reasonable prediction for the number of mint candies Ms. Cantu will pull out of the bowl is 5, which corresponds to option D.