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The cost of a ticket to the circus is $22.00 for children and $46.00 for adults. On a certain day, attendance at the circus was 1,400 and the total gate revenue was $52,400. How many children and how many adults bought tickets?

Sagot :

adioabiola

The number of children and adults who bought the tickets at the circus was 500 and 900 respectively.

How to write and solve equation?

let

  • x = number of children
  • y = number of adults

x + y = 1400

22x + 46y = 52,400

From equation (1)

x = 1400 - y

Substitute into (2)

22(1400 - y) + 46y = 52,400

30,800 - 22y + 46y = 52,400

- 22y + 46y = 52,400 - 30,800

24y = 21,600

y = 21,600 / 24

y = 900

substitute y into

x + y = 1400

x + 900 = 1400

x = 1400 - 900

x = 500

Learn more about equation:

https://brainly.com/question/1214333

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The number of children's ticket that was bought is 500.

The number of adult's ticket that was bought is 900.

What is the linear equation that represents the question?

a + b = 1400 equation 1

22a + 46b = 52,400 equation 2

Where:

  • a - number of children's ticket
  • b = number of adult's ticket

What is the number of adult's ticket?

Multiply equation 1 by 22

22a + 22b = 30800 equation 3

Subtract equation 3 from equation 2

21,600 = 24b

b = 21,600 / 24

b = 900

What is the number of children's ticket?

Subtract 900 from 1400

1400 - 900 = 500

To learn more about simultaneous equations, please check: https://brainly.com/question/25875552

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