SOLUTION: A railway half ticket costs half of the full fare and the reservation charges are the same on half ticket as on full ticket. One reserved 3 A.C. class ticket from Delhi to Lucknow

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Question 1040184: A railway half ticket costs half of the full fare and the reservation charges are the same on half ticket as on full ticket. One reserved 3 A.C. class ticket from Delhi to Lucknow costs Rs.538 and one-half reserved 3 A.C. class ticket costs Rs.294. Find the full basic and the reservation charges separately.
Found 3 solutions by mananth, josgarithmetic, ikleyn:
Answer by mananth(16946)   (Show Source): You can put this solution on YOUR website!
A railway half ticket costs half of the full fare and the reservation charges are the same on half ticket as on full ticket. One reserved 3 A.C. class ticket from Delhi to Lucknow costs Rs.538 and one-half reserved 3 A.C. class ticket costs Rs.294. Find the full basic and the reservation charges separately.

Let full fare be x and reservation charge be y
Half ticket = x/2
x+y=538...........................................1
x/2 +y = 294......................................@
subtract 2 from 1
x/2= 244
x= 488
y = 538-488= 50
Full fare = Rs 488 Reservation charges = Rs 50



Answer by josgarithmetic(39618)   (Show Source): You can put this solution on YOUR website!
?
Use of written language? 
                 unit price   reserv.price     quantity      cost

halfticket           p             r              1          294=p+r
    
fullticket          2p             r              1          538=2p+r

TOTAL

Question seems to be asking for 2p and for r, according to the way variables are assigned in the table.
--------very simple to solve
Answer by ikleyn(52797)   (Show Source): You can put this solution on YOUR website!
.

While those readers from India are expected to know what the words  " 3 A.C. class ticket "  mean,

for all other future students,  who may read this post,  I recommend to learn the meaning of these words from the  Internet


https://www.trainman.in/article/indian-railway-train-classes


As I understand, the major goal of this problem is to scare the readers and to prove how smart
is the composer, using these combinations of words, that are confusing for general audience.

Usually, the goal of a professional Math composer is not to prove himself (or herself).
The true goal is to teach students in a right way.


Very sad to see things like this.



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