Question

I have a bag of m&m's. there are 9 green m&m's and this is 30% of the bag. how many total m&m's are in the bag?

Answer 1

Answer:

30 total m&m's

Step-by-step explanation:

You want to find the rest of the bag, which is 70% of the bag (100% - 30%). The question is basically asking: What is 70% of x if 30% of x is equal to 9? The variable x represents the total m&m's in the bag.

Create an equation that models 30% of x.

• 30%x = 9 ⇒ 0.3x = 9

To solve for x, divide both sides of the equation by 0.3.

• x = 30

We know that the value of x is 30, so this means that there is a total of 30 m&m's in the bag. However, to check your answer substitute the value of x into the expression for "What is 70% of x?"

This question can be modeled by: 70%x or 0.7x.

Substitute 30 for x.

• 0.7(30) = 21

Now take this amount and add this to the known amount of green m&m's in the bag.

• 21 + 9 = 30

After checking our answer we can verify that 30 is the correct answer.