One evening 1500 concert tickets were sold for the Fairmont Summer Jazz Festival. Tickets cost $25 for a covered pavilion seat and $15 for a lawn seat. Total receipts were $28500. How many of each type of ticket were sold? Use substitution or elimination.

Answer:Tickets of lawn seat sold = 900Tickets of pavilion seat sold = 600Explanation:Let [tex]x[/tex] be the no. of lawn seats and [tex]y[/tex] be the no. of pavilion seats.According to the given question, [tex]x + y = 1500[/tex]            ----eq 1  and[tex]15x + 25y = 28500[/tex]  ---- eq 2 After obtaining the two equations we can solve this by either substitution or elimination.By substitution, put [tex]x = 1500 - y[/tex]   from eq 1 to eq 2, and solve for y, which gives[tex]y = 600[/tex] and then substitute this value in eq 1 to get[tex]x = 900[/tex]By elimination, make the coefficient of one variable say x equal in both equations, for this multiply eq 1 with 15now eq 1 becomes[tex]15x + 15y = 22500[/tex] subtract this equation from eq 2 to get[tex]y = 600[/tex] and substitute this value in eq 1 to get [tex]x = 900[/tex]