Final answer:
To find out how many games the Hawks won, set up two equations: w + l = 27 and w = 2l. Solving these equations, we find that the Hawks won 18 games.
Step-by-step explanation:
The student asked: 'The Hawks played 27 lacrosse games. They won twice as many games as they lost. How many games did they win?' This is a mathematics problem that requires us to use algebra to find the solution.
Let's denote the number of games the Hawks won as w and the number of games they lost as l. According to the question, we know that:
- The total number of games w + l = 27
- They won twice as many games as they lost, so w = 2l
We can substitute the second equation into the first one to solve for l:
w + l = 27
2l + l = 27
3l = 27
l = 9
Now that we have the number of losses, we can easily find the number of wins:
w = 2l = 2 × 9 = 18
Therefore, the Hawks won 18 lacrosse games.