At the movie theater two adults tickets one large popcorn and two sodas cost 29$ four adult tickets two large popcorns and tree sodas cost 55$ and three adult tickets and two sodas cost 30$. what is the cost of one adult ticket, what is the cost of one large popcorn and what is the cost of one soda. Please give step by step explanation with answer

Answer:-2.75 x = -233.75  / -2.75  x = 85.00  plug value of x in (1)  1.00 x + 1.00 y = 150.00  85.00 + y = 150.00  y = 150.00 -85.00 y = 65.00  y = 65.00  x= 85 number of child tickets  y= 65 number of adult ticketsStep-by-step explanation:x= number of child tickets  y= number of adult tickets  Total sold  1.00 x + 1.00 y = 150.00 .............1  Total value  4.75 x + 7.50 y = 891.25 .............2  Eliminate y  multiply (1)by -7.50  Multiply (2) by 1.00  -7.50 x -7.50 y = -1125.00  4.75 x + 7.50 y = 891.25