The fan cost index FCI represents the cost of four average price tickets refreshments and souvenirs to a sporting event the FCIs is for an independent tennis league and an independent basketball league total $124.41 the basketball FCI what is $7.09 More than that of tennis what were the FCIs for these sports
To find the FCIs for tennis and basketball, we can set up a system of equations based on the given information.
Let's assume the FCI for tennis is represented by 'x' dollars. According to the given information, the basketball FCI is $7.09 more than that of tennis. So, the FCI for basketball can be represented as 'x + $7.09'.
Now, we know that the total cost of the tennis and basketball FCIs is $124.41. Therefore, we can set up the following equation:
x + (x + $7.09) = $124.41
Simplifying the equation:
2x + $7.09 = $124.41
Subtracting $7.09 from both sides:
2x = $117.32
Dividing by 2:
x = $58.66
So, the FCI for tennis is $58.66. Now, to find the FCI for basketball, we can substitute this value back into the equation:
x + $7.09 = $58.66 + $7.09 = $65.75
Therefore, the FCIs for tennis and basketball are $58.66 and $65.75, respectively.