a team wins 80% of its games. if it wins 68 games, how many games has it played
Solve for x.
0.8x = 68
To find the total number of games the team has played, you can set up a proportion:
Let "x" be the total number of games the team has played.
Since the team wins 80% of its games, they win 0.8 (80% expressed as a decimal) of the total number of games.
So, the number of games the team wins can be represented as 0.8x.
Given that the team has won 68 games, you can set up the following equation:
0.8x = 68
To solve for x, divide both sides of the equation by 0.8:
x = 68 / 0.8
Using a calculator, we find that x is approximately 85.
Therefore, the team has played approximately 85 games.
To find out how many games the team has played, we can use the information that it wins 80% of its games and has won 68 games so far.
Let's set up a proportion:
Winning games / Total games = Percentage of wins
We know that the team wins 80% of its games, which can be expressed as 80/100 or 0.8.
So, we can set up the proportion as follows:
68 / x = 0.8 / 1
To solve for x (the total number of games played), we can cross-multiply and solve for x:
0.8x = 68
Dividing both sides of the equation by 0.8:
x = 68 / 0.8
x = 85
Therefore, the team has played 85 games.