Question

Robert, D’aunte, Kalin and Jasir are members of the basketball team in charge of selling tickets. Student tickets to the Morehouse Basketball holiday tournament cost $15 for student tickets and $20 for adult tickets. The holiday tournament sold four hundred fifty tickets, totaling $7,500.00 in receipts. How many (of each) tickets were sold?

Answer 1

The answer involves setting up and solving a system of linear equations. There were 300 student tickets and 150 adult tickets sold.

Step-by-step explanation:

The student question involves solving a system of linear equations to determine how many student and adult tickets were sold for the Morehouse Basketball holiday tournament.

Let x be the number of student tickets sold and y be the number of adult tickets sold. The price for a student ticket is $15 and the price for an adult ticket is $20. It is given that a total of 450 tickets were sold for the sum of $7,500.00.

The problem can be set up as two equations:

1. x + y = 450 (total tickets sold)
2. 15x + 20y = 7500 (total amount earned)

Subtracting 15 times the first equation from the second equation helps in solving for y:

15x + 20y = 7500
-(15x + 15y = 6750)

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5y = 750

Dividing both sides by 5:

y = 150

There are 150 adult tickets sold. Plugging this value back into the first equation:

x + 150 = 450

x = 300

Therefore, 300 student tickets and 150 adult tickets were sold.