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At a local basketball game, all tickets are the same price and all souvenirs are the same price.Mr.Smith brought 2 tickets to this basketball game and 1 souvenir for a total of $17.25. Ms Lockhart brought 5 tickets to the same game and 2 souvenir for a total $42.00. How much was a ticket to this game?

 Apr 8, 2020

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Let  T  =  price of one ticket

Let  S  =  price of one souvenir

 

Smith:       2T + 1S  =  17.25   --->   multiply by -2   --->   -4T - 2S  =  -34.50

Lockhart:  5T + 2S  =  42.00                                              5T + 2S  =  42.00

(adding down the columns)                                                 T           =    7.50

 Apr 8, 2020

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