Question

From a bus stand in Delhi, if we buy 2 tickets to Pilampura and 3 tickets to Dilshad Garden, the total cost is Rs 46 but if we buy 3 tickets to Pitampura and 5 tickets to Dilshad the total cost is Rs 74. Find the fares from the bus stand to Dilshad Garden . (a.) Rs 6 (b.) Rs 8 (c.) Rs 10 (d.) Rs 12,,,,, *PLEASE EXPLAIN ALSO*​

Answer 1

Step-by-step explanation:

Let the fare from the bus stand to Pitampura be x, and the fare from the bus stand to Dilshad Garden be y.

From the given information, we can set up two equations:

2y + 3x = 46 ...(1)

3y + 5x = 74 ...(2)

Multiplying equation (1) by 3 and equation (2) by 2, we get:

6y + 9x = 138 ...(3)

6y + 10x = 148 ...(4)

Subtracting equation (3) from equation (4), we get:

x = 10

Substituting this value of x in equation (1), we get:

2y + 3(10) = 46

2y = 16

y = 8

Therefore, the fare from the bus stand to Dilshad Garden is Rs 8.

So the answer is (b) Rs 8.