in a school, the students of class Vlll colected ₹2304 for a picnic. each student contributed as many rupees as the number of students in the class. find the number of students in the class .
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Let the number of students in the class be x.
⇒ Number of students = y
.
Each student contributed as many rupees as the number of students
⇒ Amount each student contributed = y
.
Express the total amount contributed by class:
⇒ total amount = y x y = y²
.
Form the equation and solve for y:
Total amount contributed by the class = y²
Total amount contributed by the class = ₹2304
y² = ₹2304
y = √2304
y = 48
.
Answer: There are 48 students in the class.
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