SOLUTION: You are going to dinner and a hockey game, and you have two different plans as options. The Family Pack provides 2 pizzas and 4 hockey tickets for $210. The Party Pack provides 4

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: You are going to dinner and a hockey game, and you have two different plans as options. The Family Pack provides 2 pizzas and 4 hockey tickets for $210. The Party Pack provides 4      Log On


   

Question 1192610: You are going to dinner and a hockey game, and you have two different plans as options. The Family Pack provides 2 pizzas and 4 hockey tickets for $210. The Party Pack provides 4 pizzas and 10 hockey tickets for $516. How much does one pizza cost and how much does one hockey ticket cost?
Answer by ikleyn(52787) About Me  (Show Source):
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You are going to dinner and a hockey game, and you have two different plans as options.
The Family Pack provides 2 pizzas and 4 hockey tickets for $210.
The Party Pack provides 4 pizzas and 10 hockey tickets for $516.
How much does one pizza cost and how much does one hockey ticket cost?
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    2P +  4T = 210
    4P + 10T = 516

====>

    4P +  8T = 420
    4P + 10T = 516

====>

         10T - 8T = 516 - 420

             2T   =    96  ====>  T = 96/2 = 48.


    2P + 4*48 = 210

     P = %28210-4%2A48%29%2F2 = 9.


ANSWER.  $48 for one ticket and $9 for pizza.

Solved.