Two bus tickets from city A to B and three tickets from city A to C cost Rs. 77 but three tickets from city A to B and two tickets from city A to C cost Rs. 73. - www.mathselab.com

Two bus tickets from city A to B and three tickets from city A to C cost Rs. 77 but three tickets from city A to B and two tickets from city A to C cost Rs. 73. What are the fares for cities B and C from A?

Question


Two bus tickets from city A to B and three tickets from city A to C cost Rs. 77 but three tickets from city A to B and two tickets from city A to C cost Rs. 73. What are the fares for cities B and C from A?


A. Rs. 15, Rs. 14
B. Rs. 17, Rs. 13
C. Rs. 13, Rs. 17
D. Rs. 4, Rs. 23


Answer: C. Rs. 13, Rs. 17


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.

Then, 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.


Hence, the answer is x = 13 rs and y = 17 rs.




Read more:


Find the wrong number in the series. 1, 2, 6, 15, 31, 56, 91


Find the missing number in the series? 4, 18, ?, 100, 180, 294, 448

Leave a Reply

Your email address will not be published.