Below are three problems on linear equations. You have to form the equations by using the given information. Question 1 A railway half ticket( for kids below 5 years) costs Rs. 150 and full ticket(for above 5 years) costs Rs. 250. The daily report says that for a particular day, 5000 passengers have travelled and the total collection is Rs.10,50,000. How many kids(below 5 years) have travelled on that day? a)1000 b)2000 c)2500 d)3500 Answer : b)2000 Solution: Let 's' be the number of kids travelled on that day and 'b' be the number of passengers(above 5 years) travelled on that day. Therefore, s + b = 5000 ... eqn (1) Each half ticket's cost is Rs.150 and Each full ticket's cost is Rs.250. Total collection of amount = 150s + 250b = 10,50,000 Or 150s + 250b = 10,50,000 ... eqn (2) Multiplying equation (1) by 150, we get 150s + 150b = 7,50,000 ... eqn (3) Subtracting eqn (3) from eqn (2), we get 100b = 3,00,000 Or b = 3000 We know that s + b =...
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