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In a hall, 50% of the 2100 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, 30% were boys. How many boys went to pitch tents?

Question

In a hall, 50% of the 2100 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, 30% were boys. How many boys went to pitch tents?

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Solution

Step 1: Determine the total number of boys in the hall. Since 50% of the 2100 students are boys, we multiply 2100 by 50% (or 0.5).

2100 * 0.5 = 1050 boys

Step 2: Determine the number of boys remaining in the hall. Since 30% of the students remaining in the hall are boys, we multiply the total number of students (2100) by 30% (or 0.3).

2100 * 0.3 = 630 boys

Step 3: Determine the number of boys who went to pitch tents. We subtract the number of boys remaining in the hall (630) from the total number of boys (1050).

1050 - 630 = 420 boys

So, 420 boys went to pitch tents.

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