At Frosty Freeze, 4 of the last 6 sundaes sold had nuts. Considering this data, how many of the next 9 sundaes sold would you expect to have nuts?

6 sundaes will have nuts

Step-by-step explanation:

Let's make a proportion. Use the following setup.

sundaes with nuts/total sundaes=sundaes with nuts/total sundaes

We know that 4 sundaes had nuts out of a total 6 sundaes. We don't know how many sundaes had nuts out of 9 sundaes. Therefore, we can say that x sundaes had nuts out of a total of 9 sundaes.

4 sundaes with nuts/6 total sundaes=x sundaes with nuts/9 total sundaes

4/6=x/9

We want to find out what x is. In order to do this, we have to get x by itself. Perform the opposite of what is being done to the equation. Keep in mind, everything done to one side, has to be done to the other.

x is being divided by 9. The opposite of division is multiplication. Multiply both sides by 9.

9 * (4/6) = (x/9) * 9

9*4/6=x

9*2/3=x

6=x

Out of the next 9 sundaes sold, it is expected that 6 sundaes will have nuts.