The statement "if a total of 1,644 tickets were sold for a total of $11,250" is incorrect, the correct statement is "if a total of 644 tickets were sold for a total of $11,250"
There were 106 adult tickets and 538 kids tickets sold
Step-by-step explanation:
The given is:
We need to find how many adult tickets and kid tickets were sold
Assume that the number of the adult tickets is x and the number of the kids tickets is y
∵ The number of the adult tickets is x
∵ The number of the kids tickets is y
∵ The total number of tickets is 644
∴ x + y = 644 ⇒ (1)
∵ The park charges $30 for the adult ticket
∵ The park charges $15 for the kids ticket
∵ They earns a total of $11,250 for all tickets
- Multiply x by 30 and y by 15 and equate the sum of the
products by 11,250
∴ 30x + 15y = 11250 ⇒ (2)
Now we have a system of equation to solve it
Multiply equation (1) by -15 to eliminate y
∵ -15x - 15y = -9660 ⇒ (3)
- Add equations (2) and (3)
∴ 15x = 1590
- Divide both sides by 15
∴ x = 106
- Substitute the value of x in equation (1) to find y
∵ 106 + y = 644
- Subtract 106 from both sides
∴ y = 538
There were 106 adult tickets and 538 kids tickets sold
Learn more:
You can learn more about the system of equations in brainly.com/question/2115716
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