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 FCI.

What were the FCIs for these sports?

The FCI for tennis league is $ 58.32 and FCI for basketball league is $65.30

Step-by-step explanation:

We have been given the following dа ta:

The FCIs for an independent tennis league and an independent basketball league totaled $123.62

Let the FCI for tennis league be "x" and the FCI for basketball league be "y". Since, the total for both leagues is $ 123.62, this means the sum of x and y must be $ 123.62. Using this we can set up our first equation as:

x + y = 123.62 Equation 1

The basketball FCI was $ 6.98 more than that of tennis FCI. This means y would be more than x by 6.98. Using this we can set up our second equation as:

y = x + 6.98 Equation 2

Substituting the value of y from Equation 2 to Equation 1, gives us:

x + x + 6.98 = 123.62

2x + 6.98 = 123.62

2x = 123.62 - 6.98

2x = 116.64

x = 116.64/2

x = 58.32

Using the value of x in Equation 2 gives us:

y = x + 6.98 = 58.32 + 6.98 = 65.3

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