For the 2012-2013 National Hockey League and National Basketball Association seasons, two hockey tickets and one basketball ticket purchased at their average rates cost $173.01.
One hockey ticket and two basketball tickets cost $162.99, when purchased at their
average rates. What were the average ticket prices for the two sports?

The average cost for an National Hockey League ticket was $

The average cost for an National Basketball Association ticket was $

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Step-by-step explanation:

Using h and b to represent the prices of hockey and basketball tickets, respectively, the two purchases are ...

  2h +b = 173.01

  h +2b = 162.99

Subtracting the second equation from twice the first gives ...

  2(2h +b) -(h +2b) = 2(173.01) -(162.99)

  3h = 183.03

  h = 61.01

Substituting that into the first equation, we can solve for b:

  b = 173.01 -2h = 173.01 -2(61.01)

  b = 50.99

The average cost of an NHL ticket was $61.01.

The average cost of an NBA ticket was $50.99.

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