Question

Colton wrote a ratio comparing the number of sports video games that he owns to the number of driving video games that he owns as 4:3. Which ratio is equivalent to Colton’s ratio?
Three-sevenths
Four-sevenths
3 to 4
4 to 3

Answer 1

Colton's ratio of sports video games to driving video games is written as 4:3. To find equivalent ratios, we can multiply or divide both parts of the ratio by the same number.

The ratio \(4:3\) can also be expressed as:

- \( \frac{4}{3} \)
- \( \frac{4 \times 2}{3 \times 2} = \frac{8}{6} \)
- \( \frac{4 \times 3}{3 \times 3} = \frac{12}{9} \)

However, since we are looking for a ratio that directly resembles \(4:3\), we can compare it to the given options:

- "Four-sevenths" corresponds to a ratio of \( \frac{4}{7} \)
- "Three-sevenths" corresponds to a ratio of \( \frac{3}{7} \)
- "3 to 4" corresponds to a ratio of \( \frac{3}{4} \)
- "4 to 3" corresponds to a ratio of \( \frac{4}{3} \)

Out of these, "4 to 3" is equivalent to Colton's original ratio of \(4:3\).

Thus, the answer is **4 to 3**.