Question

William has a bag of 240 candies that are

one fourth chocolate, one third caramel,
and the rest are butterscotch. How many
of each kind of candies are there?

Answer 1

Let's start by finding the fraction of candies that are butterscotch:

Fraction of butterscotch candies = 1 - (1/4) - (1/3) = 7/12

We know that there are 240 candies in total, so we can use this fraction to find the number of butterscotch candies:

Number of butterscotch candies = (7/12) x 240 = 140

Now we need to find the number of chocolate and caramel candies. We can use the fractions given in the problem to set up a system of equations:

Number of chocolate candies = (1/4) x 240 = 60
Number of caramel candies = (1/3) x 240 = 80

Therefore, there are 60 chocolate candies, 80 caramel candies, and 140 butterscotch candies in the bag.

Answer 2

William has 60 chocolate candies, 80 caramel candies, and 100 butterscotch candies.

Explanation:

Let's begin by calculating the total number of butterscotch candies. We know that the bag has 240 candies, and we already know the proportions of chocolate and caramel candies:

Chocolate candies: 1/4 * 240 = 60

Caramel candies: 1/3 * 240 = 80

Therefore, the number of butterscotch candies is:

Butterscotch candies: 240 - 60 - 80 = 100

So William has 60 chocolate candies, 80 caramel candies, and 100 butterscotch candies.