Question

On the first day of the sale of tickets of a drama 35 tickets in all were sold. If the rates of the tickets were Rs.20 and Rs.40 per ticket and thetotal collection was Rs.900. Find the number of

tickets sold of each rate. ​

Answer 1

Answer:

25 tickets of Rs. 20 and 10 tickets of Rs 40

Step-by-step explanation:

Let x tickets of Rs20 and y tickets of Rs40 be sold.

Given, x+y=35 -- (1)

And 20x+40y=900 => 2x+4y=90 --- (2)

Multiplying equation  (1) with 2 we get, 2x+2y=70 ----- equation (3)

Subtracting equation (3)

from (2), we get 2y=20=>y=10

Substituting

y=10 in the equation (1), we get x+10=35=>x=25

Hence, 25 tickets of Rs.20 and 10 tickets of Rs.40 were sold.