Question

A bag of M&M candies has 2 colors in it. The colors are green and red to a ratio of 2:3 (that is, for every 2 green candies there are 3 red candies). You open the bag and find 14 green candies.

a) How many red candies are in the bag?
b) How many candies are in the bag?

Answer 1

For every 2 green candies, there are 3 red candies in the bag. There are 14 green candies, so we can calculate the number of red candies and the total number of candies in the bag.

Step-by-step explanation:

The ratio of green candies to red candies in the bag is 2:3. This means that for every 2 green candies, there are 3 red candies. You open the bag and find 14 green candies.

a) To find the number of red candies, we can set up a proportion:

2/3 = 14/x

Cross multiplying, we get:

2x = 14*3

2x = 42

x = 21

Therefore, there are 21 red candies in the bag.

b) To find the total number of candies in the bag, we add the number of green candies and red candies:

Total number of candies = 14 + 21 = 35

Therefore, there are 35 candies in the bag.