A video game company sold 100 racing games. 80 of the games were car-racing games, and the rest were motorcycle-racing games. What is the ratio of the number of motorcycle-racing games to the number of car-racing games?

Answer 1

To find the ratio of the number of motorcycle-racing games to the number of car-racing games, we first need to determine how many motorcycle-racing games were sold.

We know that:

• The total number of games sold = 100
• The number of car-racing games = 80

Now, we can calculate the number of motorcycle-racing games: \[ \text{Number of motorcycle-racing games} = \text{Total games} - \text{Car-racing games} = 100 - 80 = 20 \]

Now we have:

• Number of motorcycle-racing games = 20
• Number of car-racing games = 80

Next, we can find the ratio of the number of motorcycle-racing games to the number of car-racing games: \[ \text{Ratio} = \frac{\text{Number of motorcycle-racing games}}{\text{Number of car-racing games}} = \frac{20}{80} \]

To simplify this ratio, we divide both numbers by their greatest common divisor, which is 20: \[ \frac{20 \div 20}{80 \div 20} = \frac{1}{4} \]

Thus, the ratio of the number of motorcycle-racing games to the number of car-racing games is: \[ \boxed{1:4} \]