Problema Solution
1500 tickets cost $32,500.00. Pavillion seats cost $25.00 and lawn seats cost $15.00. How many tickets were sold?
Answer provided by our tutors
let the number of pavilion seats be x and the number of lawn seats be y. set up two equations:
x+y = 1500
25x + 15y = 32500
x = 1500-y
25(1500-y) +15y = 32500
37500 - 25y + 15y = 32500
37500 - 10y = 32500
-10y = -5000
y = 500
x = 1500-y = 1500-500 = 1000
so 1000 pavilion seat tickets were sold and 500 lawn seat tickets were sold