20 students of a college went to a hotel. 19 of them spent Rs. 175 each on their meal and the 20th student spent Rs. 19 more than the average of all the 20. Find the total money spent by them.

Let's solve this step by step.

1. Let the average money spent by all 20 students be \( x \).
2. The 19 students each spent Rs. 175, so the total money spent by these 19 students is:
   \[
   19 \times 175 = 3325
   \]
3. The 20th student spent Rs. 19 more than the average. Hence, the amount spent by the 20th student is:
   \[
   x + 19
   \]
4. The total money spent by all 20 students is the sum of what the 19 students spent and what the 20th student spent:
   \[
   3325 + (x + 19)
   \]
   which simplifies to:
   \[
   3344 + x
   \]
5. Since the total money spent by all 20 students is also equal to \( 20 \

Learn how to calculate the total money spent by 20 students in a hotel where 19 students spent Rs. 175 each, and the 20th student spent Rs. 19 more than the average. This problem explores key algebraic concepts such as averages and linear equations, making it ideal for students in Grades 8-10.

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