Question

a baseball team played 140 regular season games. the ratio of the number of games they won to the number of games they lost was \\(\frac{5}{2}\\). how many games did they win? how many games did they lose?
the team won \\(square\\) games. (type a whole number.)

Explanation:

Step1: Define variables and ratio sum

Let the number of games won be $5x$ and lost be $2x$ (since ratio of won to lost is $\frac{5}{2}$). Total games: $5x + 2x = 7x$.

Step2: Solve for x

Total games = 140, so $7x = 140$. Then $x = \frac{140}{7} = 20$.

Step3: Calculate games won

Games won = $5x = 5\times20 = 100$.

Answer:

100