Use the table to answer the question.

White Blue
3 4
x 8
9 12
12 y
For every 4 blue crayons in a box, there are 3 white ones. How many white crayons are there if there are 8 blue ones? How many blue crayons are there if there are 12 white ones?

(1 point)
Responses

9; 12
9; 12

4; 8
4; 8

12; 16
12; 16

6; 16
6; 16
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1 answer

To solve the problem, we start with the given ratio of white to blue crayons, which is 3 to 4.

  1. Determine the number of white crayons when there are 8 blue crayons.

    According to the ratio: \[ \frac{\text{White}}{\text{Blue}} = \frac{3}{4} \]

    If there are 8 blue crayons, we can set up the proportion: \[ \frac{3}{4} = \frac{\text{White}}{8} \]

    Cross-multiplying gives: \[ 3 \times 8 = 4 \times \text{White} \] \[ 24 = 4 \times \text{White} \] Dividing both sides by 4 gives: \[ \text{White} = 6 \]

  2. Determine the number of blue crayons when there are 12 white crayons.

    Using the same ratio again: If there are 12 white crayons, we can set up the proportion: \[ \frac{3}{4} = \frac{12}{\text{Blue}} \]

    Cross-multiplying gives: \[ 3 \times \text{Blue} = 4 \times 12 \] \[ 3 \times \text{Blue} = 48 \] Dividing both sides by 3 gives: \[ \text{Blue} = 16 \]

So, the final answers are:

  • When there are 8 blue crayons, there are 6 white crayons.
  • When there are 12 white crayons, there are 16 blue crayons.

None of the given response options match the answers found above. However, looking more closely at the responses:

If we consider the fact that we needed to confirm from the options provided, the question was to report:

  • \( \text{White} = 6 \) and
  • \( \text{Blue} = 16 \)

The information aligns with the closest match available, but not directly one-to-one.

Thus the conclusion is:

The answers are 6; 16.

(Although this exact response isn't listed precisely in your formatted options, please confirm its accuracy against the details provided.)