In a class, 45% of the students are boys. 40% of the boys and 60% of the girls love jogging. What is the percentage of students who love jogging?
Question
In a class, 45% of the students are boys. 40% of the boys and 60% of the girls love jogging. What is the percentage of students who love jogging?
Solution
Step 1: Determine the percentage of boys and girls in the class.
According to the problem, 45% of the students are boys. Therefore, the remaining 55% are girls because the total percentage in a group is always 100%.
Step 2: Determine the percentage of boys and girls who love jogging.
40% of the boys love jogging. Since boys make up 45% of the total students, the percentage of boys who love jogging out of the total students is 0.40 * 45% = 18%.
60% of the girls love jogging. Since girls make up 55% of the total students, the percentage of girls who love jogging out of the total students is 0.60 * 55% = 33%.
Step 3: Add the percentage of boys and girls who love jogging to find the total percentage of students who love jogging.
18% + 33% = 51%
So, 51% of the students in the class love jogging.
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