the drama club receives $3,301 by selling 376 tickets to the opening night of the musical.if the full price of a ticket is $10.75 and discount tickets for students and seniors are $6 each how many discounted senior student tickets were sold

Answer:156 senior/student tickets were sold.Step-by-step explanation:Create a system of equations (I used 'x' for full price people and 'y' for senior/students) 10.75x + 6y = 3,301 x + y = 376Then solve for one variable by moving one variable to the right on the second equation:x + y = 376 to x = 376 - yNow plug that new equation into the first equation, where the 'x' is.10.75(376 - y) + 6y = 3,301Distribute 10.75 into the parentheses:4,042 - 10.75y + 6y = 3,301Now combine like terms:4,042 - 4.75y = 3,301Move 4,042 to the right to combine with 3,301:4,042 - 4,042 -4.75y = 3,301 - 4,042-4.75y = -741Now divide both sides by -4.75:-4.75y/-4.75 = -741/-4.75y = 156156 senior/student tickets!