To solve the problem, we start with the given ratio of white to blue crayons, which is 3 to 4.
-
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: \[ \text{White} = 6 \]
-
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.)