Question

Use the table to answer the 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

18
18

27
27

10
10

9

Answers

GPT-4o mini
To estimate the number of white balls in Bowl A based on Simon's results, we first need to determine the total number of balls selected from Bowl A and the proportion of white balls selected.

From the table:

- Number of white balls selected from Bowl A = 5
- Number of red balls selected from Bowl A = 15
- Total balls selected from Bowl A = 5 + 15 = 20

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

\[
\text{Proportion of white balls} = \frac{\text{Number of white balls selected}}{\text{Total balls selected}} = \frac{5}{20} = \frac{1}{4}
\]

Since there are 36 balls in Bowl A, we can now estimate the number of white balls in Bowl A by using the proportion of white balls selected:

\[
\text{Estimated number of white balls} = \text{Total balls in Bowl A} \times \text{Proportion of white balls} = 36 \times \frac{1}{4} = 9
\]

Thus, the estimated number of white balls in Bowl A is **9**. Therefore, the correct response is:

9

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