Answer:
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 data:
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
