Question

A bag of candy contains five candies that are orange. The probability of reaching into the bag, taking one candy from the bag without looking, and getting an orange candy is one out of eight. How many candies in the bag are not orange?

a) 3 candies are not orange.
b) 5 candies are not orange.
c) 7 candies are not orange.
d) 8 candies are not orange.

Answer 1

To find the number of candies in the bag that are not orange, subtract the number of orange candies from the total number of candies in the bag. The correct answer is that 35 candies are not orange. Hence the correct answer is option A

Step-by-step explanation:

To find the number of candies in the bag that are not orange, we need to subtract the number of orange candies from the total number of candies in the bag. The probability of getting an orange candy is 1 out of 8, which means that there is 1 orange candy for every 8 candies in the bag. This can be represented as:

Number of orange candies / Total number of candies = Probability of getting an orange candy

Let x be the total number of candies in the bag:

5 / x = 1 / 8

Now, cross multiply and solve for x:

5 * 8 = x * 1

40 = x

So there are 40 candies in the bag. Since we know that 5 of them are orange, the remaining 40 - 5 = 35 candies are not orange. Therefore, the correct answer is 35 candies are not orange (option a).