Lucas and his brother, Max, went to the arcade yesterday. Lucas played 2 games of Rodeo Racing and 8 games of Polar Pinball. Max played 3 games of Rodeo Racing and 9 games of Polar Pinball. Which brother played the greater ratio of Rodeo Racing to Polar Pinball?

Answer 1

To find out which brother played a greater ratio of Rodeo Racing to Polar Pinball, we need to calculate the ratio for both Lucas and Max.

For Lucas:

• Rodeo Racing games: 2
• Polar Pinball games: 8

The ratio of Rodeo Racing to Polar Pinball for Lucas is calculated as follows:

\[ \text{Ratio for Lucas} = \frac{\text{Rodeo Racing}}{\text{Polar Pinball}} = \frac{2}{8} = \frac{1}{4} \]

For Max:

• Rodeo Racing games: 3
• Polar Pinball games: 9

The ratio of Rodeo Racing to Polar Pinball for Max is calculated as follows:

\[ \text{Ratio for Max} = \frac{\text{Rodeo Racing}}{\text{Polar Pinball}} = \frac{3}{9} = \frac{1}{3} \]

Now, we compare the two ratios:

• Lucas's ratio: \( \frac{1}{4} \)
• Max's ratio: \( \frac{1}{3} \)

To compare \( \frac{1}{4} \) and \( \frac{1}{3} \), we can convert them to a common denominator or compare their decimal values:

• \( \frac{1}{4} = 0.25 \)
• \( \frac{1}{3} \approx 0.333 \)

Since \( 0.333 > 0.25 \), Max has the greater ratio of Rodeo Racing to Polar Pinball.

Thus, Max played the greater ratio of Rodeo Racing to Polar Pinball.