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Digital SAT
Digital SAT Mathematics - Calculator Section

Team Alpha Basketball Wins Calculation

Hard Problem Solving And Data Analysis Ratios And Proportions

In a competitive basketball league, the ratio of wins to losses for Team Alpha is 7:3. After playing a total of 40 games, some games were canceled due to inclement weather, resulting in an unexpected final tally of games played. If the ratio of wins to the newly calculated number of games played remains the same, find out how many wins Team Alpha had.

Let the number of wins be represented by $W$ and the number of losses be represented by $L$. The total games played, including cancellations, is given by $W + L = 40 - C$, where $C$ is the number of canceled games. Using the initial ratio, set up the equation $\f\frac{W}{L} = \f\frac{7}{3}$.

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