A bus traveller travelling with some of his relatives buys 5 tickets from Ahmedabad to Anand and 10 tickets from Ahmedabad to Vadodara for Rs. 1100. The total cost of one ticket from Ahmedabad to Anand and one ticket from Ahmedabad to Vadodara is Rs. 140. Find the cost of a ticket from Ahmedabad to Anand as well as the cost of a ticket from Ahmedabad to Vadodara.

Let the cost of one ticket from Ahmedabad to Anand be x and the cost of one ticket form Ahmedabad to Vadodara be y.

given, 5 tickets from Ahmedabad to Anand and 10 tickets from Ahmedabad to Vadodara for Rs. 1100.

⇒ 5x + 10y = 1100 …[1]

Also, cost of one ticket from Ahmedabad to Anand and one ticket from Ahmedabad to Vadodara is Rs. 140

⇒ x + y = 140

⇒ y = 140 – x …[2]

By substituting eq[2] in eq[1] we get

5x + 10(140 – x) = 1100

⇒ 5x + 1400 – 10x = 1100

⇒ 5x = 300

x = 60

and by eq[2] and x = 60

⇒ y = 140 – 60

⇒ y = 80