Question

There are 40 passengers in a bus, some with Rs. 3 tickets and remaining with Rs. 10 tickets. The total collection from these passengers is Rs. 295. Find how many passengers have tickets worth Rs. 3?

Answer 1

Given, total number of passengers = 40

Let the number of passengers having tickets worth ₹ 3 be x.

Then, the number of passengers having tickets worth ₹ 10 = (40 – x)

Total collection from passengers = ₹ 295  ...[Given]

According to the question,

3x + 10(40 – x) = 295

⇒ 3x + 400 – 10x = 295

⇒ – 7x = 295 – 400

⇒ – 7x = – 105

⇒ x = `-105 xx ((-1)/7)`

∴ x = 15

Hence, the number of passengers having tickets worth ₹ 3 is 15.