Use the table to answer the question.

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

12; 16
12; 16

9; 12
9; 12

6; 16
6; 16

4; 8
4; 8
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Answer 1

The given ratio of white crayons to blue crayons is 3:4.

1. To find out how many white crayons correspond to 8 blue ones:

   Using the ratio, for every 4 blue crayons, there are 3 white ones. So, we set up the equation: \[ \text{White} = \frac{3}{4} \times \text{Blue} \] If there are 8 blue crayons: \[ \text{White} = \frac{3}{4} \times 8 = 6 \]

2. To find out how many blue crayons correspond to 12 white ones:

   Again using the ratio: \[ \text{Blue} = \frac{4}{3} \times \text{White} \] If there are 12 white crayons: \[ \text{Blue} = \frac{4}{3} \times 12 = 16 \]

So, the final answers are:

6 white crayons for 8 blue crayons and 16 blue crayons for 12 white crayons.

The correct response is:

6; 16.