on the first day of the sale on tickets of a drama in all 35 tickets were sold it the rates of the tickets were 20 and 40 per ticket and the total collection was 900 find the number of tickets sold of each rate
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Rs. 20 ticket sold for 25 numbers and Rs. 40 ticket sold for 10 numbers.
Step-by-step explanation:
There are two rates of tickets, one 20 Rs. and the other 40 Rs.
Let the ticket sale of Rs. 20 is x numbers and that of Rs. 40 is y numbers.
So, total number of ticket sale is
x + y = 35 ........ (1)
And the total value of ticket sale is
20x + 40y = 900 ........... (2)
Now, solving equations (1) and (2) we get
40y - 20y = 900 - (35 × 20) = 200
⇒ 20y = 200
⇒ y = 10
Now, from equation (1) we get, x = 35 - 10 = 25
Therefore, Rs. 20 ticket sold for 25 numbers and Rs. 40 ticket sold for 10 numbers. (Answer)
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