Question

From a bus stand in Bangalore , if we buy 2 tickets to Malleswaram and 3 tickets to Yeshwanthpur, the total cost is Rs 46; but if we buy 3 tickets to Malleswaram and 5 tickets to Yeshwanthpur the total cost is Rs 74. Find the fares from the bus stand to Malleswaram, and to Yeshwanthpur.

Answer 1

Let Rs x be the fare from the bus stand in Bangalore to Malleswaram, and

Rs y to Yeshwanthpur. From the given information, we have

2x + 3y = 46, i.e., 2x + 3y – 46 = 0 ...(1)

3x + 5y = 74, i.e., 3x + 5y – 74 = 0 ........(2)

To solve the equations by the cross-multiplication method, we draw the diagram as given below.

Hence, the fare from the bus stand in Bangalore to Malleswaram is Rs 8 and the fare to Yeshwanthpur is Rs 10.