Question

This table shows the number of white and red balls selected from Bowl A and Bowl B.
Number of White Balls Selected Number of Red Balls Selected
Bowl A 5 15
Bowl B 16 4
Bowls A and B contain a number of white and red balls. Simon repeatedly selected a ball from both bowls and recorded the results in a table. If there are 36 balls in Bowl A, estimate the number of white balls based on Simon’s results.

(1 point)
Responses

10
10 - no response given

18
18 - no response given

9

Answer 1

To estimate the number of white balls in Bowl A based on Simon's results, we can use the proportion of white and red balls selected from Bowl A.

From the table:

- Bowl A has 5 white balls and 15 red balls selected.
- Total balls selected from Bowl A = 5 (white) + 15 (red) = 20.

Now, we can find the proportion of white balls selected from Bowl A:

\[
\text{Proportion of white balls in Bowl A} = \frac{\text{White Balls Selected}}{\text{Total Balls Selected}} = \frac{5}{20} = \frac{1}{4}.
\]

If Bowl A contains a total of 36 balls, let \( W \) be the number of white balls in Bowl A. Then, the number of red balls in Bowl A would be \( 36 - W \).

We can set up the equation based on the proportion of white balls:

\[
\frac{W}{36} = \frac{1}{4}.
\]

Now, cross-multiply to solve for \( W \):

\[
4W = 36.
\]
\[
W = \frac{36}{4} = 9.
\]

Thus, based on Simon's results, the estimated number of white balls in Bowl A is **9**.

So the correct response is:
**9**.