Question

At the carnival the ratio of rides to games was 9:8. For every ___games there are ___rides.

A. 8 games, 17 rides.
B. 9 games, 8 rides.
C. 9 games, 17 rides.
D. 8 games, 9 rides.

Answer 1

The ratio of rides to games at the carnival is 9:8. For every 8 games, there are 9 rides.

Step-by-step explanation:

In a ratio, the two numbers represent the number of rides and games respectively. Here, the ratio of rides to games is 9:8. To find the number of rides for a given number of games, we can set up a proportion:

Rides / Games = 9 / 8

If we substitute the answer choices into the proportion, we can test which one makes the equation true. If we substitute 8 games and 17 rides (choice A) into the proportion, we have:

17 / 8 = 9 / 8 (not true)

Similarly, if we substitute 9 games and 8 rides (choice B) into the proportion, we have:

8 / 9 = 9 / 8 (also not true)

Continuing this process, we find that when we substitute 8 games and 9 rides (choice D) into the proportion, we have:

9 / 8 = 9 / 8 (true)

Therefore, for every 8 games at the carnival, there are 9 rides. The correct answer is option D.