Question

some tickets of ₹200 and some of ₹100,of a drama in a theatre were sold. The number of tickets of ₹200 sold was 20 more than the number of tickets of ₹ 100 .The total amount received by the theatre by sale of tickets was ₹37000. Find the number of ₹100 tickets sold

Answer 1

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Here is your answer
Let the number of tickets of Rs 100 is x

so Number of tickets of Rs 200 is ( x + 20)

ATQ
$100x + 200(x + 20) = 37000 \\ 100x + 200x + 4000 = 37000 \\ 300x = 37000 - 4000 \\ 300x = 33000 \\ x = \frac{33000}{300} \\ x = 110$
Therefore Number of tickets of Rs 100 is 110

and
Number of tickets of Rs 200 is 110 + 20
=. 130

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Answer 2

Answer:

110 tickets of Rs 100 were sold in the theater

Step-by-step explanation:

Cost of 1st type of tickets = Rs 200

Cost of 2nd type of tickets = Rs 100

Given that the sale of 1st type of ticket is 20 more in numbers than the sale of 2nd type of tickets.

So let the number of 2nd type of tickets sold = x

Then  the number of 1st  type of tickets sold = x + 20

200 ( x + 20 ) + 100 x = 37,000

200 x + 4000 + 100 x = 37000

300 x = 37000 - 4000

300 x = 33000

By Dividing by 300 on both sides, we have

x = 110

Therefore, 110 tickets of Rs 100 were sold.