a bus Traveller traveling With some of his relatives buys 5 tickets from ahmedabad and 10 tickets from ahmedabad to vadodra
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A bus traveller travelling with some of his relatives buys 5 tickets from Ahmedabad to Anand and 10 tickets from Ahmedabad to Vadodara for Rs.1100. The total cost of one ticket from Ahmedabad to Anand and one ticket from Ahmedabad to Vadodara is Rs.140. Find the cost of a ticket from Ahmedabad to Anand as well as the cost of a ticket from Ahmedabad to Vadodara.
Let the cost of one ticket from
Ahmedabad to Anand = Rs X
Cost of one ticket from Ahmedabad to
Vadodara = Rs y
According to the problem given ,
x + y = Rs 140 ---( 1 )
5x + 10y = Rs 1100 ---( 2 )
divide each term in equation ( 2 ) , with 5,
we get ,
x + 2y = 220 ---( 3 )
subtracting equation ( 1 ) from ( 3 ) , we get
y = 80
put y = 80 in equation ( 1 ) , we get
x = 60
Therefore ,
Cost of a ticket from Ahmedabad to Anand
= x = Rs 60
And
Cost of one ticket from Ahmedabad to
Vadodara = y = Rs 80
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