posted by JSHJHDH on .
The booster club sold tickets to a high school basketball game. They sold 700 student tickets and 500 general admission tickets, and raised a total of $5000. The combined cost of one student ticket and one general admission ticket was $8.
The equations and graph below can be used to determine how much each ticket type cost, where s represents the cost of one student ticket and g represents the cost of one general admission ticket.
Total ticket sales: 700s + 500g = $5000
Total cost for one student and one general admission ticket: s + g = 8
What was the price, in dollars, of a general admission ticket?
s = 8 - g
700s + 500g =5000
Substitute 8-g for s in second equation and solve for g. Insert that value into the first equation and solve for s. Check by inserting both values into the second equation.