Question

If we buy 2 tickets from station a to b and 3 from station a to c we have to pay rs. 795 but 3 tickets from station a to b and 5 from a to c cost a total of rs 130 what is the fare from station a to b and that from station a to c ?

Answer 1

may this helps you..

Answer 2

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