How Many Students Went on Picnic with a Rs 500 Budget?

Planning a picnic on a budget can be a challenging task, especially when the number of participants fluctuates. This article will delve into a hypothetical scenario where a group of students planned a picnic with a budget of Rs 500 for food. However, some students couldn’t make it, leading to an increase in the cost of food by Rs 5 per student. The question that arises here is, how many students actually went on the picnic? Let’s break it down and find the answer.

Understanding the Problem

The problem at hand is a classic example of a mathematical word problem. The students had initially planned a picnic with a budget of Rs 500 for food. However, due to some students not being able to attend, the cost of food per student increased by Rs 5. The task is to find out the number of students who actually went on the picnic.

Breaking Down the Problem

Let’s denote the initial number of students who planned to go on the picnic as ‘x’. The cost per student, therefore, was Rs 500/x. However, due to some students not attending, the cost per student increased by Rs 5. This means the new cost per student was Rs 500/(x – number of students who didn’t attend) = Rs 500/x + Rs 5.

Solving the Problem

By setting up the equation as described above, we can solve for ‘x’. The equation becomes Rs 500/x = Rs 500/(x – number of students who didn’t attend) + Rs 5. Simplifying this equation will give us the number of students who initially planned to go on the picnic.

However, the problem does not provide the number of students who didn’t attend. Therefore, we can’t directly solve the equation. But we can make an educated guess. For example, if we assume that 10 students didn’t attend, we can substitute this value into the equation and solve for ‘x’.

Conclusion

Without the exact number of students who didn’t attend the picnic, we can’t definitively answer the question. However, by making an educated guess and using basic algebra, we can estimate the number of students who might have attended the picnic. This problem serves as a great example of how mathematics can be applied in real-life scenarios, helping us make sense of situations and make informed decisions.

Remember, planning a picnic or any event on a budget requires careful consideration of various factors, including the number of participants. A change in this number can significantly impact the cost per person, as demonstrated in this problem.