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, we can use algebraic equations.
Let's assume the FCI for tennis is "x" dollars.
According to the given information, the FCI for basketball is $6.98 more than that of tennis. So, the FCI for basketball would be "x + $6.98".
Now, we are told that the total FCIs for both sports is $123.62.
So, the equation becomes:
x + (x + $6.98) = $123.62
Simplifying the equation:
2x + $6.98 = $123.62
Subtracting $6.98 from both sides:
2x = $116.64
Dividing both sides by 2:
x = $58.32
Therefore, the FCI for tennis is $58.32.
Now, substituting this value back into the equation for basketball:
x + $6.98 = $58.32 + $6.98 = $65.30
Therefore, the FCI for basketball is $65.30.
So, the FCIs for tennis and basketball are:
The FCI for tennis is $58.32.
The FCI for basketball is $65.30.