Question

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 $____

Answer 1

9514 1404 393

Answer:

• Hockey: $61.01
• Basketball: $50.99

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.