Kiana's socfer team's ratio of wins to losses is \( 5: 3 \). Her team has played 24 games. Haw many games have they won?

To find out how many games Kiana's soccer team has won, we need to use the given ratio of wins to losses, which is \(5:3\). Let's denote the number of wins as \(5x\) and the number of losses as \(3x\), where \(x\) is a common multiplier. Given that the team has played a total of 24 games, the sum of wins and losses should equal 24. Therefore, we can set up the equation: \[5x + 3x = 24\] Solving this equation will give us the value of \(x\), which we can then use to find the number of games won by Kiana's team. Solve the equation by following steps: - step0: Solve for \(x\): \(5x+3x=24\) - step1: Add the terms: \(8x=24\) - step2: Divide both sides: \(\frac{8x}{8}=\frac{24}{8}\) - step3: Divide the numbers: \(x=3\) The solution to the equation is \(x = 3\). Now, we can find the number of games won by Kiana's team by substituting \(x = 3\) into the expression for the number of wins: Number of games won = \(5x = 5 \times 3 = 15\) Therefore, Kiana's soccer team has won 15 games.