A community group bought 30 tickets to an amusement park at a total cost of $810. They bought x student tickets for $25 each and y adult tickets for $30 each. Complete the following sentence. The community group bought____student tickets and____adult tickets.
+118608 Let there be X student tickets. These will cost a total of 25X dollars
Let there be Y adult tickets. These will cost a total of 20Y dollars
X+Y=30 (multiply through by 30)
30X+30Y=900 (1)
25X+30Y=810 (2)
(1)-(2)
5X=90
X=18
18+Y=30 so Y=12
18 students and 12 adults.
