Let's make the price of tickets for adults x and children y, now form an equation Friday - 55y + 20x = 200 Saturday - 72y + 36x = 306 Now you have to have either the x or the y cancel out, so you have to find the relationship between two of them I am going to multiply the top equation by 9/5 to cancel out the x 99y + 36x = 360 72y + 36x = 306 Now I am going to multiply the bottom equation by -1 -72y - 36x = -306 99y + 36x = 360 The x cancel out 27y = 54 y = 2 So the price of a child ticket is $2 Now plug 2 into one of the original equations 55(2) + 20x = 200 20x = 90 x = 4.5 The price of an adult ticket is $4.50
