In a hall, 60% of the 2400 students are boys. Some boys went to the field to pitch tents while the rest stayed in hall and prepared food. Of the students remaining in the hall, 40% were boys. How many boys went to pitch tents?
Question
In a hall, 60% of the 2400 students are boys. Some boys went to the field to pitch tents while the rest stayed in hall and prepared food. Of the students remaining in the hall, 40% were boys. How many boys went to pitch tents?
Solution
Step 1: Find the total number of boys in the hall. Since 60% of the 2400 students are boys, you multiply 2400 by 60% (or 0.60) to get 1440 boys.
Step 2: Find the number of boys remaining in the hall. If 40% of the students remaining in the hall are boys, and we know that the total number of students in the hall is 2400, we multiply 2400 by 40% (or 0.40) to get 960 boys.
Step 3: Subtract the number of boys remaining in the hall from the total number of boys to find the number of boys who went to pitch tents. So, 1440 boys (total) - 960 boys (in the hall) = 480 boys went to pitch tents.
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