Answer: 225 adult tickets, 375 student tickets
Explanation:
a = adult tickets
s = student tickets
a + s = 600 (the adult and student ticket added together should equal 600)
6.00a + 4.50s = 3,037.50 ($6 multiply by the adult ticket plus $4.50 multiply by the student ticket should equal to 3,037.50)
a = -s + 600 (get one of the variable by itself by subtracting it from one side)
6 (-s + 600) + 4.5s = 3,037.5 (substitute the a for -s + 600)
-6s + 3600 + 4.5s = 3,037.5 (combine like terms)
-1.5s + 3600 = 3,037.5 (subtract 3600 from each side)
-1.5s = - 562.5 (divide -1.5 from each side)
s = 375
600 = 375 + a (substitute s for 375)
a = 225