Question

Two bus tickets from city a to b and three tickets from city a to c cost $. 77 but three tickets from city a to b and two tickets from city a to c cost $. 73. what are the fares for cities b and c from a ?

Answer 1

b and two tickets from city a to c cost $. 73.

Answer 2

Answer:

The the fares for cities b and c from a are Rs.13 and Rs.17.

Step-by-step explanation:

Given : Two bus tickets from city a to b and three tickets from city a to c cost $. 77 but three tickets from city a to b and two tickets from city a to c cost $. 73.

To find : What are the fares for cities b and c from a ?

Solution :

Let Rs. x be the fare of city b from city a and Rs. y be the fare of city c from city a.

According to question,

2x + 3y = 77 ...(i) and

3x + 2y = 73 ...(ii)

Multiplying (i) by 3 and (ii) by 2 and subtracting,

we get: 5y = 85 or y = 17

Putting y = 17 in (i),

we get: x = 13

Therefore, The the fares for cities b and c from a are Rs.13 and Rs.17.