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A high school basketball team won exactly 65 percent of the games it played during last season. Which of the following could be the total number of games the team played last season?

Problemas

A high school basketball team won exactly 65 percent of the games it played during last
season. Which of the following could be the total number of games the team played last
season?

A high school basketball team won exactly 65 percent of the games it played during last season. Which of the following could be the total number of games the team played last season?

Solución

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Tomásélite · Tutor durante 8 años
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To determine the total number of games the team played last season, we need to find a number that, when multiplied by 65%, results in a whole number.<br /><br />Let's denote the total number of games as \( x \). The team won 65% of the games, which can be expressed as \( 0.65x \).<br /><br />Since the number of games won must be a whole number, \( 0.65x \) must be an integer. This means \( x \) must be a multiple of 100, because 65% of any number that is not a multiple of 100 will not result in an integer.<br /><br />Therefore, the total number of games the team played last season could be any multiple of 100. For example, 100, 200, 300, etc., are all possible values for \( x \).
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