Final answer:
To find the number of games that Jeff's soccer team lost out of 30 games played, we can use a proportion based on the given ratio of games won to games lost. By solving the proportion, we find that they lost 18 games.
Step-by-step explanation:
To find the number of games that Jeff's soccer team lost, we first need to determine the number of games they won. From the given information, we know that for every 3 games won, they lost 2 games. This means that for every 5 games played (3 won + 2 lost), they won 3 games. So, if they played a total of 30 games, we can set up a proportion: 5 games won is to 30 games played as 3 games won is to x (the number of games they lost).
Cross-multiplying, we get 5 * x = 3 * 30. Solving for x, we have x = 90 / 5 = 18. Therefore, Jeff's soccer team lost 18 games.
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