Question

The students of a class arranged a picnic, each student contributed as many rupees as the number of students in the class. If the total contribution is Rs. 1156, find the strength of the class.

Answer 1

Hint: We will first let the number of students in the class be \[x\] and as everyone has given the same amount as the number of students so, the contribution is Rs. \[x\]. Now, we will multiply the number of students with the contribution of money and put it equal to 1156. Next, we will simplify the obtained expression and evaluate the value of \[x\] and will get the strength of the class.

Complete step by step Answer:

We will first consider the total contribution given that is Rs. 1156 and we need to find the strength of the class.
Now, we will let the number of students in the class be \[x\].
Therefore, as the contribution done by each student is as same as the number of students in the class so, the contribution given by each student is Rs. \[x\].
Next, as given in the question that the total contribution is Rs. 1156 which means that the number of students will be multiplied by the contribution done by each student.
Thus, we get,
\[
   \Rightarrow x \times x = 1156 \\
   \Rightarrow {x^2} = 1156 \\
 \]
We will simplify the expression by taking the square root.
Thus, we get,
\[
   \Rightarrow x = \sqrt {1156} \\
   \Rightarrow x = \sqrt {{{\left( {34} \right)}^2}} \\
   \Rightarrow x = 34 \\
 \]
Hence, we can conclude that the strength of the class is 34 students.

Note:: Take the square root of 1156 carefully. As the number of students and contribution done by them is same so we have to take the same variable for both the values. The strength is 34 and the contribution done by the students is also Rs 34 each.