# 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.