A railway half ticket costs half the full fare

Asked by admin @ 11/08/2021 in Math viewed by 255 People

A railway half ticket costs half the full fare and reservation charge is the same on half ticket as on full ticket . Once reserved first class ticket from bombay to Pune costs rs.216 and one full and o e half reserved first ticket costs rs. 327 . What is the first class full fare and what is the reservation charge?

Answered by admin @ 11/08/2021

Let the cost of fare be rs.'x' and the reservation charge be rs.'y'.

By condition I:
x+y=216 ....(i)

By condition II:
(one full and one half ticket = 1+1/2 = 3/2)
(cost of half railway ticket is x/2)
therefore,

x+y+x/2+y=327

3/2x+2y=327

i.e. 3x+4y=654 ....(ii)(after multiplying by 2 )

by solving (i) and (ii)
you will get
x=210 and y=6

Hence, basic fare for one ticket is rs.210 and reservation fare is rs.6

6. mike's family went to the yes prep volleyball game. mike bought 1 ticket, 2 chips and a drink for $9. mike's dad bought 3 tickets, 1 chips and 4 drinks for $24. mike's sister bought 1 ticket, 3 chips and 1 drink for $10. how much does each item cost? x= tickets y= chips z= drinks write your answer as an ordered triple. (1 point

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A railway half ticket costs half the full fare

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