Question

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:
\[
\boxed{1:4}
\]