Question

* 100 passengers on a bus .. (There are men, women and children).
* Travel Rates - Rs. 5 for men, Rs. 1 for women and 5 paise for children.
* How many men, how many women, how many children did that trip to that bus cost 100?

Answer 1

Answer: M-19,W-1,C-80

Step-by-step explanation:

M+W+C=100

5M+1W+0.05C=100

Since the amount collected was a whole number, there only 4 options for number of children(C) vis 20(Rs.1), 40(Rs.2), 60(Rs.3) or 80(Rs.4). Solve the above equations for M by substituting each case of C. The only option where M will return a whole number is when C=80. All other options will give fractions for M.

So solve for M+W=20 and 5M+W=96 (C=80 & 0.05C=4)