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?

Answer 1

Given the ratio provided, the relationship between white crayons (W) and blue crayons (B) can be expressed as:

\[
\frac{W}{B} = \frac{3}{4}
\]

This means for every 3 white crayons, there are 4 blue crayons.

1. **To find the number of white crayons when there are 8 blue ones:**

Using the ratio:
\[
\frac{W}{8} = \frac{3}{4}
\]

Cross-multiply to solve for W:
\[
4W = 3 \times 8
\]
\[
4W = 24
\]
\[
W = \frac{24}{4} = 6
\]

So, there are **6 white crayons** when there are **8 blue crayons**.

2. **To find the number of blue crayons when there are 12 white ones:**

Using the ratio:
\[
\frac{12}{B} = \frac{3}{4}
\]

Cross-multiply to solve for B:
\[
3B = 12 \times 4
\]
\[
3B = 48
\]
\[
B = \frac{48}{3} = 16
\]

So, there are **16 blue crayons** when there are **12 white crayons**.