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

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

Solution:
Let the average spending of all 20 students = x
So, total spending = 20x

Given that,
19 students spent 175 each
∴ Total = 19 × 175 = 3325
20th student spent = x + 19

ATQ,
3325 + (x + 19) = 20x
⇒ 20x - x = 3325 + 19
⇒ 19x = 3344
⇒ x = 3344/19
∴ x = 176

∴ Total money spent = 20x = 20 × 176 = Tk. 3520