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# How much more of the mezzanine tickets?

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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?

Apr 29, 2019

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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

Apr 29, 2019