Question

Jodi has a bag with 72 M&M’s. The probability of her getting a blue M&M is ({2}/{9}). Can you use the information to find the exact amount of blue M&M’s in the bag? Explain.

Answer 1

By setting up a proportion based on the given probability of 2/9 and cross-multiplying, we determine that there are 16 blue M&M’s in a bag of 72 M&M’s.

Step-by-step explanation:

To find the exact amount of blue M&M’s in Jodi’s bag using the probability given, we can set up a simple proportion.

The probability of selecting a blue M&M is given as (2/9).

This means that for every 9 M&M’s, 2 are blue.

To find the total number of blue M&M’s in a bag of 72, we can use cross-multiplication.

Let the number of blue M&M’s be represented by the variable x. We write the proportion as:

2/9 = x/72

Cross-multiply to solve for x:

2 × 72 = 9 × x
144 = 9x
x = 144 / 9
x = 16

Therefore, there are 16 blue M&M’s in the bag of 72 M&M’s.