Q103 of 113 Page 110

There are 40 passengers in a bus, some with Rs. 3 tickets and remaining with Rs. 10 tickets. The total collection from these passengers is Rs, 295. Find how many passengers have tickets worth Rs. 3?

Let the number of passengers bought Rs. 3 tickets = x

Let the number of passengers bought Rs. 10 tickets = y


Given, there are 40 passengers in a bus


x + y = 40⋯(i)


Again, total collection from the passengers is Rs. 295


3x + 10y = 295⋯(ii)


substract (i) from (ii)


Multiply by 10 in (i)


10x + 10y = 400⋯(iii)


substract (iii) and (ii)


10x-3x + 10y-10y = 400-295


7x = 105




So, the number of passengers bought Rs.3 tickets is 15


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