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Concert tickets cost $15 for general admission, but only $9 with a student ID. Ticket sales total $4500. How many student tickets were sold if 150 general admission tickets were sold?

Question

Concert tickets cost 15forgeneraladmission,butonly15 for general admission, but only 9 with a student ID. Ticket sales total $4500. How many student tickets were sold if 150 general admission tickets were sold?

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Solution

Step 1: Calculate the total revenue from the general admission tickets.

The cost of a general admission ticket is 15and150oftheseticketsweresold.So,thetotalrevenuefromgeneraladmissionticketsis15015 and 150 of these tickets were sold. So, the total revenue from general admission tickets is 150 * 15 = $2250.

Step 2: Subtract the revenue from general admission tickets from the total revenue to find the revenue from student tickets.

The total revenue from ticket sales is 4500.So,therevenuefromstudentticketsis4500. So, the revenue from student tickets is 4500 - 2250=2250 = 2250.

Step 3: Calculate the number of student tickets sold.

The cost of a student ticket is 9.So,thenumberofstudentticketssoldis9. So, the number of student tickets sold is 2250 / $9 = 250.

Therefore, 250 student tickets were sold.

This problem has been solved

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