Ms. Quon discovered that 40 students liked soccer, 20 liked basketball, 10 liked football, and 5 liked swimming. How many times as many students liked basketball as football? Soccer as football?

20 = 2 * 10

40 = 4 * 10

To find out how many times as many students liked basketball as football, we need to calculate the ratio of the number of students who liked basketball to the number of students who liked football.

First, we determine that there were 20 students who liked basketball and 10 students who liked football. Therefore, the ratio of basketball to football is 20/10 = 2.

This means that there were 2 times as many students who liked basketball as those who liked football.

To find out how many times as many students liked soccer as football, we follow the same process.

Given that there were 40 students who liked soccer and 10 students who liked football, the ratio of soccer to football is 40/10 = 4.

Therefore, there were 4 times as many students who liked soccer as those who liked football.