81 student tickets and 230 non-student tickets were sold.
Step-by-step explanation:
Let,
Student tickets = x
Non-students tickets = y
Cost of one student ticket = 50 cents = $0.5
Cost of one non-student ticket = $1.50
According to statement;
x+y = 311 Eqn 1
0.5x + 1.50y = 385.50 Eqn 2
[tex]Multiplying\ Eqn\ 1\ by\ 0.5\\0.5x+0.5y=155.5\Eqn\ 3\\Subtracting\ Eqn\ 3\ from\ Eqn\ 2\\(0.5x+1.50y)-(0.5x+0.5y)=385.50-155.5\\0.5x+1.50y-0.5x-0.5y=230\\y=230\\Putting\ value\ of\ y\ in\ Eqn\ 1\\x+230=311\\x=311-230\\x=81[/tex]
81 student tickets and 230 non-student tickets were sold.
Keywords: Linear equations, Subtraction
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