two groups attended seniors x and regulars y . If seniors paid $10 per ticket and regulars $15 per ticket and the total gate receipt was $650. word problem set up with two equations in two unknowns using x and y
x paid $10
y paid $15
The first equation is for the number of tickets sold and the second one will deal with the prices.
We know that between seniors and regulars 50 tickets were sold
The amount of each ticket sold multiplied by their cost will equal the total gate receipt amount.