Question

The cost of a ticket to the circus is $19.00 for

children and $42.00 for adults. On a certain day,
attendance at the circus was 1,700 and the total
gate revenue was $55,300. How many children and
how many adults bought tickets?​

Answer 1

The number of tickets bought is 1000 adults tickets and 700 children were present

Step-by-step 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 .