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 $_____.
To find the FCIs for tennis and basketball, let's first assign variables to represent the unknown values.
Let's say:
x = FCI for tennis
(x + $6.98) = FCI for basketball
According to the given information, the FCIs for tennis and basketball totaled $123.62. Thus, we can create the following equation:
x + (x + $6.98) = $123.62
Simplifying the equation:
2x + $6.98 = $123.62
Now, let's isolate the variable by subtracting $6.98 from both sides of the equation:
2x = $123.62 - $6.98
2x = $116.64
Next, divide both sides of the equation by 2 to solve for x:
x = $116.64 / 2
x = $58.32
Therefore, the FCI for tennis is $58.32.
To find the FCI for basketball, we can substitute the value of x into our equation:
(x + $6.98) = $58.32 + $6.98
(x + $6.98) = $65.30
So, the FCI for basketball is $65.30.
To summarize, the FCI for tennis is $58.32, and the FCI for basketball is $65.30.