In a class, 70% of the students are boys. 80% of the boys and 50% of the girls love sports. What is the percentage of students who love sports?
Question
In a class, 70% of the students are boys. 80% of the boys and 50% of the girls love sports. What is the percentage of students who love sports?
Solution
To solve this problem, we need to break it down into several steps:
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First, we need to determine the percentage of boys and girls in the class. According to the problem, 70% of the students are boys. This means that the remaining 30% are girls.
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Next, we need to find out how many boys and girls love sports. We know that 80% of the boys and 50% of the girls love sports. So, 80% of 70% (the boys) is 56%, and 50% of 30% (the girls) is 15%.
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Finally, we add these two percentages together to find the total percentage of students who love sports. So, 56% + 15% = 71%.
Therefore, 71% of the students in the class love sports.
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