on the first day of the sale of tickets of drama, in all 35 tickets were sold. If the rates tickets were Rs.20 and Rs.40 per ticket and toral collection was Rs. 900, find the number tickers sold of each rate of tickets [5 Marks]

Answer:

Let, No. of tickets sold at Rs. 20 be ‘ x’

No. of tickets sold at Rs. 40 be ‘ y’

According to the first condition,

x + y = 35 ——————————–A

According to the second condition,

20x + 40y = 900

Dividing above equation by 20 on both sides

x + 2y = 45 —————-B

Solving equation A and B by elimination method,

x + y = 35

x + 2y = 45

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0x -y = – 10

hence, y = 10

Put y =10 in equation A,

x + y = 35

x + 10 =35

x = 35-10

x = 25

Answer:

No of tickets sold for Rs. 20 = 25, and

No. of tickets sold for Rs. 40 = 10