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 $_____.
Let's solve this problem step by step.
1. Let's assume the FCI for tennis as 'x'.
2. According to the problem, the FCI for basketball is $6.98 more than that of tennis. So, the FCI for basketball is 'x + 6.98'.
3. The total of the FCIs for both sports is given as $123.62. So, we can write the equation: x + (x + 6.98) = 123.62.
4. Simplifying the equation, we have 2x + 6.98 = 123.62.
5. To isolate 'x', we subtract 6.98 from both sides: 2x = 123.62 - 6.98 = 116.64.
6. Divide both sides of the equation by 2 to solve for 'x': x = 116.64 / 2 = 58.32.
So, the FCI for tennis is $58.32, and the FCI for basketball is $58.32 + $6.98 = $65.30.
Therefore, the FCI for tennis is $58.32, and the FCI for basketball is $65.30.