The cost of a ticket to the circus is $19.00 forchildren and $42.00 for adults. On a certain day,attendance at the circus was 1,700 and the totalgate revenue was $55,300. How many children andhow many adults bought tickets?
Accepted Solution
A:
Answer: The number of tickets bought is 1000 adults tickets and 700 children were present Explanation: Let the number of children and adults present in the circus be x and y respectively
According to question,
Then, x + y = 1700 ……………..equation (1)
And, cost of ticket to circus for children and adult be 19, 42 respectively
Total cost of ticket; for adults = 42y; for children = 19x
19x + 42y = 55300 …………………equation (2)
Multiplying equation (1) by 19
19x + 19y = 32300 ……………… eqn (3)
Subtracting equation 1 and 3, we get
23y = 23000
y = 1000
putting this value in eq (1), we get x = 700
Therefore, 1000 adults and 700 children were present
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