Question

The Cougars, the Wildcats, and the Broncos won a total of 18 games during the football season. The Cougars won 2 more games than the Wildcats. The Broncos won 2/3 as many games as the Wildcats. How many games did the Wildcats win?

A) 5 games

B) 4 games

C) 6 games

D) 7 games

Answer 1

The Wildcats won 4 games.

Step-by-step explanation:

Let's represent the number of games won by the Wildcats as x. Since the Cougars won 2 more games than the Wildcats, we can represent the number of games won by the Cougars as x+2. The Broncos won 2/3 as many games as the Wildcats, so we can represent their number of wins as (2/3)x. We know that the sum of all the wins is 18, so we can write the equation: x + (x+2) + (2/3)x = 18.

Simplifying the equation, we have: x + x + 2 + (2/3)x = 18.
Combining like terms, we have: (11/3)x + 2 = 18.
Subtracting 2 from both sides, we have: (11/3)x = 16.
Multiplying both sides by 3/11, we have: x = 48/11.

Rounded to the nearest whole number, the Wildcats won approximately 4 games. Therefore, the correct answer is B) 4 games.