The ratio of the team's wins to losses is 4 to 3. The team has played 42 games. How many games have they won?

w = [4 / (4 + 3)] * 42

4

To find out how many games the team has won, we need to determine the value of the ratio of wins to losses.

The ratio of wins to losses is given as 4 to 3, which means for every 4 wins, there are 3 losses.

To calculate how many games the team has won, we can use the following steps:

Step 1: Determine the total number of parts in the ratio.
The ratio of wins to losses is 4:3, which means there are 4 + 3 = 7 parts in total.

Step 2: Calculate the value of each part.
To find the value of each part, divide the total number of games by the total number of parts:
42 games ÷ 7 parts = 6 games per part.

Step 3: Find the number of wins.
To calculate the number of wins, multiply the number of parts representing wins by the value of each part:
4 parts (representing wins) × 6 games per part = 24 games.

Therefore, the team has won 24 games.

To find the number of games the team has won, we first need to determine the total number of parts in the ratio. In this case, the ratio is 4 to 3, so the total number of parts is 4 + 3 = 7.

Next, we divide the total number of games played, 42, by the total number of parts in the ratio, 7, to find the value of each part of the ratio. 42 divided by 7 equals 6.

Since the team has won 4 parts of the ratio, we can multiply the value of each part by 4 to find the number of games they have won. 6 multiplied by 4 equals 24.

Therefore, the team has won 24 games.