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 in a certain city would spend a total of $1175.62 to attend three Major League Baseball (MLB) games and one National Football League (NFL) game. The family would spend $1237.54 to attend one MLB and two NFL games. Write and solve a system of equations to find the family's costs for each kind of game according to the FCI. MLB: $ NFL: $

The equations for the situation are:

2B + N = 1175.62

B + 2N = 1237.54

It will cost the family $371.23 to watch major League of baseball

And $433.16 to watch a National football league

Step-by-step explanation:

According to the FCI, a family of four would spend a total of $1175.62 to attend two Major League Baseball (MLB) games and one National Basketball Association (NBA) game. The family would spend $1237.54to attend one MLB and two NBA games. Write and Solve a system of equations to find the family's costs for each kind of games according to the FCI. 

Let B = Major League Baseball

Let N = National Football league

The Equation will be:

2B + N = 1175.62 ...eq1

B +2N = 1237.54 ...eq2

Multiply eq2 by 2 to get:

4B + 2N = 2357.42 ...eq3

Subtract eq2 from eq3

4B + 2N = 2357.42

-

B + 2N = 1237.54

3B = 1113.70

B = 1113.70/3

B = 371.23

Solving for N using eq1

2B + N = 1175.62

2(371.23) + N = 1175.62

742.46 + N = 1175.62

N = 1175.62 - 742.46

N = 433.16