# The Fan cost Index(Fci)represents the cost of four average-price tickets, refreshments, and souvenirs to a sporting event. The FCIs for an Independent tennis league and an Independent basketball league totaled $123.62. The basketball FCI was $$6.98 more than that of tennis. What were the FCIs for these sports ? The FCI for tennis was$_____ and the FCI for basketball was $_____.

## If tennis is x, then

x + x+6.98 = 123.62

Now just find x and figure the other price.

## To find the FCIs for tennis and basketball, we can set up a system of equations.

Let's denote the FCI for tennis as T and the FCI for basketball as B.

According to the given information, the total FCIs for tennis and basketball is $123.62:

T + B = 123.62 -- Equation 1

We are also told that the basketball FCI was $6.98 more than that of tennis:

B = T + 6.98 -- Equation 2

To solve this system of equations, we can substitute Equation 2 into Equation 1 to eliminate the variable B:

T + (T + 6.98) = 123.62

2T + 6.98 = 123.62

2T = 123.62 - 6.98

2T = 116.64

T = 116.64 / 2

T ≈ $58.32

Now we can substitute the value of T back into Equation 2 to find the FCI for basketball:

B = 58.32 + 6.98

B ≈ $65.30

Therefore, the FCI for tennis is approximately $58.32, and the FCI for basketball is approximately $65.30.