Question

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?

Answer 1

Answer:4

Explanation:

First, write the experimental probability as a fraction in simplest form.

P(nuts)

=

nuts

total

=

2

10

=

1

5

The experimental probability is

1

5

.

We can predict the outcome of the second set of trials by assuming that the ratio will be the same as in the first set of trials. Write a proportion by setting the two ratios equal to each other, then solve.

1

5

=

n

20

1

5

(520)

=

n

20

(520) Multiply both sides by (520)

120

= 5n Simplify

20

= 5n Simplify

4

= n Divide both sides by 5

You would expect 4 of the next 20 sundaes sold to have nuts.

Answer 2

6 sundaes will have nuts

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.