Each student of class 8A donated as many rupees as there are students in the class for a Helpage India Project. The teacher contributed Rs 131 taking the total amount collected to Rs 1,500. How much money did each student contribute?
Answers
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Answer:
The amount contributed by each student = Rs. 37
Step-by-step explanation:
Given,
Amount donated by each student = Number of students in the class
The amount donated by the teacher = Rs. 131
Total amount collected = Rs. 1500
To find,
The amount contributed by each student.
Solution:
Let 'x' be the number of students
Then as per the given condition, the amount contributed by each student = x
Total amount contributed by the students = x×x = x²
The total amount collected = Amount contributed by students +Amount contributed by teacher
Since the total amount collected is 1500, we have
1500 = x² + 131
x² = 1500 - 131
= 1369
x = = 37
∴ The amount contributed by each student = Rs. 37
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