Question

b) The cost of 2 tickets from station A to B and 3 tickets from station A to C is Rs. 795.
And 3 tickets from station A to B and 5 tickets from station A to C is Rs. 1300 .What is
the fare from station A to B and A to C.
[3]​

Answer 1

Answer:

The Cost from A to B = ₹75

The Cost from A to C = ₹215

Step-by-step explanation:

Let the cost from station A to B = x

Let the cost from station A to C = y

given that,

2x + 3y = 795  -----------------(I)

3x + 5y = 1300 ----------------(II)

Now, subtracting equation (I) from (II),

=> (2)(3x + 5y = 1300)

   (3)(2x + 3y = 795)

=> y = 215

Now, substituting this value of 'y' in equation (II),

=> 3x + (5)(215) = 1300

=> 3x + 1075 = 1300

=> 3x = 225

=> x= 75

∴ the cost of the ticket from station A to B = ₹75

  the cost of the ticket from station A to C = ₹215