the basketball team has played 21 games. the ratio of win to loses is 5:2. how many games has the team won?
games won --- 5x
games lost ---- 2x
solve 5x+2x=21 , plug x back into 5x and 2x
can i have the right answer
Well, if the ratio of wins to losses is 5:2, then we can set up a proportion. Let's call the number of wins W and the number of losses L. We know that W + L = 21, and the ratio of W to L is 5:2.
So, we can set up the proportion 5/2 = W/L. Cross multiplying, we get 2W = 5L. Rearranging the equation, we have W = 5L/2.
Now, we know that the team has played 21 games, so W + L = 21. Substituting W with 5L/2, we get 5L/2 + L = 21.
Solving the equation, we find that L = 6. So, the team has lost 6 games.
To find the number of games they've won, we substitute L with 6 in the equation W = 5L/2. That gives us W = 5(6)/2 = 15.
Therefore, the team has won 15 games!
To find the number of games the team has won, we need to calculate the proportion of wins based on the given ratio.
The ratio of wins to losses is 5:2, which means that for every 5 wins, there are 2 losses.
First, let's determine the ratio in terms of total parts. The total parts in the ratio of wins to losses are 5 + 2 = 7.
To find the number of wins, divide the total number of games played by the total parts of the ratio and multiply the result by the number of parts representing wins.
Number of wins = (Total games played / Total parts) * Number of parts representing wins
In this case, the total games played is 21, the total parts are 7, and the number of parts representing wins is 5.
Number of wins = (21 / 7) * 5
Number of wins = 3 * 5
Number of wins = 15
Therefore, the basketball team has won 15 games.