Question

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.

Answer 1

Hi ,

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

I hope this helps you.

: )

Answer 2

Dear Student,

Answer:

The total cost of one ticket from Ahmedabad to Anand is 60 rupees

and cost of one ticket from Ahmedabad to Vadodara is 80 rupees

Solution:

Let The total cost of one ticket from Ahmedabad to Anand is x rupees

and one ticket from Ahmedabad to Vadodara is y rupees

So, according to the question x+y = 140 ------ eq1

as he bought 5 tickets from Ahmedabad to Anand and 10 tickets from Ahmedabad to Vadodara for Rs.1100

So eq will be 5x+10y = 1100 ------- eq2

Now you have pair of linear equation in two variable

Substitution method : x +y =140

x = 140-y

put value of x into eq 2

5(140-y)+10y = 1100

700 -5y+10y = 1100

5y = 1100-700

5y = 400

y= 400/5

y= 80

as x+ y =140

x+80 = 140

x = 140-80

x = 60

The total cost of one ticket from Ahmedabad to Anand is 60 rupees

and cost of one ticket from Ahmedabad to Vadodara is 80 rupees

Hope it helps you.