A charity-event manager counted 54 ticket receipts the day after an event. The price for an adult ticket was $21, and the price for a student ticket was $5. The register confirms that $974 was taken in.
Let x represent the number of adult tickets and y represent the number of student tickets. Which system of equations represents the situation?
Answers
Given : A charity-event manager counted 54 ticket receipts . price for an adult ticket was $21, and student ticket was $5. The register confirms that $974 was taken in.
To find : system of equations represents the situation
Solution:
number of adult tickets = x
number of student tickets = y
charity-event manager counted 54 ticket receipts
=> x + y = 54 Eq1
The price for an adult ticket was $21
price for a student ticket was $5
Total Amount = 21x + 5y
The register confirms that $974 was taken in.
=> 21x + 5y = 974 Eq2
system of equations represents the situation :
x + y = 54
21x + 5y = 974
Eq2 - 5 * Eq1
=> 21x - 5x = 974 - 270
=> 16x = 704
=> x = 44
44 + y = 54
=> y = 10
44 Adults & 10 Student tickets
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