Some tickets of rupees 200 and some of rupees 100, of a drama in a theatre were sold The number of tickets of rupess 200 sold was rupees 20 more than the number of tickets of rupees 100. The total amount received by the theatre by sale of tickets wos rupess 37000. Find the number of rupees 100 tickets sold.
Answers
Answer:
110 tickets of Rs 100 were sold.
Step-by-step explanation:
⇒ We have 2 types of tickets here.
Cost of 1st type of tickets = Rs 200
Cost of 2nd type of tickets = Rs 100
⇒ Now 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
⇒ Now according to given data, we have
200 ( x + 20 ) + 100 x = 37,000
200 x + 4000 + 100 x = 37000
300 x = 37000 - 4000
300 x = 33000
Dividing by 300 on both sides, we have
x = 110
110 tickets of Rs 100 were sold.
Answer:
110
Step-by-step explanation:
Define x:
Let the number of Rs 100 tickets sold be x
The number of tickets of Rs 200 sold was 20 more than the number of tickets of Rs 100.
⇒ The number of Rs 200 tickets sold is (x + 20)
Solve x:
Total amount received is Rs 37000
100x + 200(x + 20) = 37000
100x + 200x + 4000 = 37000
300x + 4000 = 37000
300x = 33000
x = 110
Find the number of Rs 100 tickets sold:
Number of Rs 100 = x = 110
Answer: 110 of the Rs 100 tickets were sold