A volleyball team has a ratio of wins to losses of 8 to 6. If they played 21 games, how many games did they win?
To find the number of games the volleyball team won, we can first calculate the ratio of wins to total games played.
The given ratio is 8 wins to 6 losses, which can be simplified to 4 wins to 3 losses (by dividing both sides by 2). This means that for every 7 games played (4 wins + 3 losses), the team won 4 games.
Now, we know that the team played 21 games. We can divide this total number of games by the number of games in each set of 7 games, to determine how many sets of 7 games they played:
21 games ÷ 7 games per set = 3 sets of games
Since each set of 7 games corresponds to 4 wins, we multiply the number of sets (3) by the number of wins per set (4) to find the total number of wins:
3 sets × 4 wins per set = 12 wins
Therefore, the volleyball team won 12 games.
8/14 = x/21
Solve for x.