Question

Question 7

SPORTS The Fan Cost Index (FCI) tracks the average costs for attending sporting events, including tickets, drinks, food, parking, programs,
and souvenirs. According to the FCI, a family of four would spend a total of $592.30 to attend two Major League Baseball (MLB) games and
one National Basketball Association (NBA) game. The family would spend $691.31 to attend one MLB and two NBA games.
a. Write a system of equations to find the family's costs for each kind of game according to the FCI. Let x be the cost of MLB games and y be
the cost of NBA games.
MLB: $
x+
NBA: $
y=592.30
b. Solve the system of equations to find the cost for a family of four to attend each kind of game according to the FCI.
y=

Answer 1

Answer: a. To write a system of equations to find the family's costs for each kind of game according to the FCI, we can use the information provided in the problem. According to the FCI, a family of four would spend a total of $592.30 to attend two MLB games and one NBA game, and the family would spend $691.31 to attend one MLB and two NBA games. Let x be the cost of MLB games and y be the cost of NBA games. Then we can write the following system of equations:

x + y = 592.30 equation 1 represents the cost of attending two MLB games and one NBA game

2y + x = 691.31 equation 2 represents the cost of attending one MLB and two NBA games

b. We can solve the system of equations to find the cost for a family of four to attend each kind of game according to the FCI.

We can substitute equation 1 into equation 2

2y + (592.30 - y) = 691.31

2y + 592.30 - y = 691.31

2y = 691.31 - 592.30 = 99.01

y = 49.51

we know y represents cost of NBA games so 49.51 is cost of one NBA game for a family of four

x = 592.30 - y = 592.30 - 49.51 = 542.79

x represents cost of MLB games so 542.79 is the cost of one MLB game for a family of four

So, according to the FCI, a family of four would spend $542.79 to attend one MLB game, and $49.51 to attend one NBA game.

Explanation: