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A concert manager counted 600 ticket receipts the day after a concert. The price for a student ticket was $13.50, and the price for an adult ticket was $17.00. The register confirms that $9,587.50 was taken in. How many student tickets and adult tickets were sold?

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shubhamchouhanvrVT

The number of student tickets is 175 and the number of adult tickets is 425.

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Given that:-

  • A concert manager counted 600 ticket receipts the day after a concert. The price for a student ticket was $13.50, and the price for an adult ticket was $17.00. The register confirms that $9,587.50 was taken in

Suppose the number of the student ticket is St and adult are At.

St + At = 600

St = 600 - At

Another expression for the total amount will be given as:-

13.5St + 17At = 9587.50

Put the value of St in the equation to find the value of At.

13.5( 600 - At) + 17At = 9587.50

8100 - 13.5At +17At = 9587.5

17At - 13.5 At = 9587. 5 - 8100

3.5 At = 1487.5

At = 425

St + At = 600

St = 600 - At = 600 - 425 = 175

Therefore the number of student tickets is 175 and the number of adult tickets is 425.

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