Question

On the first day of the sale of tickets of a drama, in all 35 tickets were sold. If the rates tickets were Rs. 20 and Rs. 40 per ticket and the total collection was Rs, 900, find the number of tickets sold of each rate.

Answer 1

Let x tickets be sold at the rate of Rs.20 and y tickets at the rate of Rs.40.
Therefore, by first condition,
x + y =35 ....(1)
By second condition,
20x + 40y = 900
x + 2y = 45 .....(2)
Subtracting equation (1) from the equation (2),

x + 2y =45

x + y  =35

_   _     _

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     y=10

Substituting y 10 in equation (1),
x+10 =35
x + 35=10
x= 25
Therefore, 25 tickets at the rate of Rs. 20 each and10 tickets at the rate of Rs. 40 were sold.