SOLUTION: Two bus tickets from city A to B and three tickets from city A to C cost of Rs.77 but three tickets from city A to B and two tickets from city A to C cost of Rs.73.what are the fa

Question 984061: Two bus tickets from city A to B and three tickets from city A to C cost of Rs.77 but three tickets from city A to B and two tickets from city A to C cost of Rs.73.what are the fares for cities B and C from A?
Found 2 solutions by solver91311, Boreal:
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

Solve for and

John

My calculator said it, I believe it, that settles it

Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
A to B=x
B to C=y
A to C=x+y
2x+3(x+y)=77
3x+2(x+y)=73
2x+3x+3y=77; 5x+3y=77
3x+2x+2y=73; 5x+2y=73
y=4
x=13, because in the first equation, 5x+12=77; 5x=65; x=13
From A to B it costs 13Rs
From B to C it costs 4Rs
From A to C it costs 17Rs
Check:
26+3(17)=77
3(13)+2(17)=73
26
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