There were 100 student tickets sold
Step-by-step explanation:
The given is:
We need to find how many student tickets were sold
Assume that the number of student tickets is x and the number of adult tickets is y
∵ The number of student tickets is x
∵ The number of adult tickets is y
∵ They sold 300 tickets
∴ x + y = 300 ⇒ (1)
∵ The price of the student ticket = $4
∵ The price of the adult ticket = $6
∵ The total sales = $1600
- Add the prices of the students tickets and the adult tickets
and equate the sum by the total sales
∴ 4x + 6y = 1600 ⇒ (2)
Now we have a system of equation to solve it
Multiply equation (1) by -6 to eliminate y
∵ -6x - 6y = -1800 ⇒ (3)
- Add equations (2) and (3)
∴ -2x = -200
- Divide both sides by -2
∴ x = 100
There were 100 student tickets sold
Learn more:
You can learn more about the system of equations in brainly.com/question/6075514
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