White Blue

Question

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.