Question

The junior class at Summerfield High school sold a total of 375 ticket for their spring festival. The adult tickets sold for $7.50 each and the atudent tickets sold for $4.50 each. If the junior class collected $2,212.50 in ticket sales, how many student tickets did the class sell?

Answer 1

Answer:y=200 students

Step-by-step explanation:Let x = the number of adult tickets sold

Let y = the number of student tickets sold

x + y = 375 x = 375 - y

7.50x + 4.50y = 2212.50 Multiply both sides of this equation by 10 to remove the decimal points.

75x + 45y = 22,125

75(375-y) + 45y = 22,125

28,125 - 75y + 45y = 22,125

-30y = -6000

y = 200 student tickets