Question

Chung has 6 trucks and 5 cars in his toy box. Brian has 4 trucks and 5 cars in his toy box.

Which is the correct comparison of their ratios of trucks to cars?
StartFraction 6 Over 4 EndFraction less-than StartFraction 5 Over 5 EndFraction
StartFraction 6 Over 4 EndFraction greater-than StartFraction 5 Over 5 EndFraction
StartFraction 6 Over 5 EndFraction less-than StartFraction 4 Over 5 EndFraction
StartFraction 6 Over 5 EndFraction greater-than StartFraction 4 Over 5 EndFraction

Answer 1

To analyze the ratios of trucks to cars for Chung and Brian, we need to calculate their ratios and then compare them.

1. **Chung's ratio of trucks to cars**:
- He has 6 trucks and 5 cars.
- The ratio is \( \frac{6}{5} \).

2. **Brian's ratio of trucks to cars**:
- He has 4 trucks and 5 cars.
- The ratio is \( \frac{4}{5} \).

Now, let's compare the two ratios:

- **Chung's ratio**: \( \frac{6}{5} \)
- **Brian's ratio**: \( \frac{4}{5} \)

To compare \( \frac{6}{5} \) and \( \frac{4}{5} \), we can see that the denominators are the same (5), so we can compare the numerators directly:

- \( 6 > 4 \)

This means:

\( \frac{6}{5} > \frac{4}{5} \)

Thus, the correct comparison of their ratios of trucks to cars is:

**StartFraction 6 Over 5 EndFraction greater-than StartFraction 4 Over 5 EndFraction**.