Final answer:
The chess player played a total of 56 games.
Step-by-step explanation:
To find the total number of games the chess player played, we need to determine the ratio of wins and losses. The ratio of wins to losses is given as 8:7. This means for every 8 wins, there are 7 losses. Since the player won a total of 48 games, we can set up the following proportion:
8/7 = 48/x
Cross-multiplying, we get 8x = 7 * 48. Solving for x, we find that the player played a total of 56 games.