Respuesta :
The fan cost index (FCI) for tennis league is $56.94 and FCI for basketball league is $63.89.
We have been given the following data:
The FCIs for an independent soccer league and an independent baseball league totaled $120.83
Let the FCI for soccer league be "x" and the FCI for baseball league be "y". Since, the total for both leagues is $ 120.83, this means the sum of x and y must be $ 120.83. Using this we can set up our first equation as:
x + y = 120.83------------------------ Equation 1
The baseball FCI was $ 6.95 more than that of soccer FCI. This means y would be more than x by 6.95. Using this we can set up our second equation as:
y = x + 6.95------------------------------- Equation 2
Substituting the value of y from Equation 2 to Equation 1, gives us:
x + x + 6.95 = 120.83
2x + 6.95 = 120.83
2x = 120.83 - 6.95
2x = 113.88
x = 113.88/2
x = 56.94
Using the value of x in Equation 2 gives us:
y = x + 6.95 = 56.94 + 6.95 = 63.89
Therefore, the FCI for soccer league is $56.94 and FCI for baseball league is $63.89.
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