Tickets to a baseball game cost $20 for the nosebleeds and $45 for the mezzanine level. If the total revenue was $717,500 and 21,500 tickets were sold across the two sections, how much more did the stadium make on mezzanine ticket sales than nosebleed ticket sales?
Let the number of nosebleed tickets sold = T.....the the number of mezzanine tickets sold = (21500 - T)
So
Number of nosebleed tickets sold * price each + number of mezz tickets sold * price each = revenue
T(20) + ( 21500 - T)(45) = 717500 simplify
20T + 967500 - 45T = 717500
-25T + 967500 = 717500 subtract 967500 from each side
-25T = -250000 divide both sides by -25
T = 10000 = nosebleed tickets sold and 21500 - 10000 = 11500 mezz sold
So.....
Revenue from mezz = 45(11500) = $ 517500
Revenue from nosebleed = 717500 - 517500 = $ 200000
So....they made 517500 - 200000 = $317500 more from mezz sales than nosebleed sales