Final answer:
The basketball team has won 35 games and lost 20 games.
Step-by-step explanation:
The basketball team has played a total of 55 games and has a win-to-loss ratio of 7:4.
To find the number of games they have won and lost, we can set up a proportion. Let's say they have won 'x' games and lost 'y' games. We can write the proportion as:
x/y = 7/4
To solve for 'x' and 'y', we cross-multiply and solve the resulting equation:
4x = 7y
Since we know the total number of games played is 55, we can set up another equation:
x + y = 55
Now we have a system of two equations with two variables. We can solve this system by substitution or elimination. Using substitution, we can solve for 'y' in terms of 'x':
x + 4x/7 = 55
11x/7 = 55
11x = 385
x = 35
Substituting 'x' into one of the equations, we can find 'y':
35 + y = 55
y = 20
Therefore, the basketball team has won 35 games and lost 20 games.
Learn more about win-to-loss ratio