# 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 represent the FCI for tennis as "x" dollars.

According to the given information, the FCI for basketball is \$6.98 more than that of tennis. Therefore, the FCI for basketball would be "x + 6.98" dollars.

The total FCIs for both sports is given as \$123.62. So we can set up the following equation:

x + (x + 6.98) = 123.62

Combining like terms, we have:

2x + 6.98 = 123.62

Subtracting 6.98 from both sides, we get:

2x = 116.64

Dividing both sides by 2, we find:

x = 58.32

Therefore, the FCI for tennis is \$58.32 and the FCI for basketball is \$58.32 + \$6.98 = \$65.30.

So, the FCI for tennis is \$58.32 and the FCI for basketball is \$65.30.

## To find the FCIs for tennis and basketball, we can set up a system of equations based on the given information.

Let's denote the FCI for tennis as "T" and the FCI for basketball as "B."

From the information provided, we know two things:

1. The FCIs for tennis and basketball totaled \$123.62:
T + B = 123.62

2. The basketball FCI was \$6.98 more than that of tennis:
B = T + 6.98

Now we can solve this system of equations to find the values of T and B.

Substituting the second equation into the first equation, we have:
T + (T + 6.98) = 123.62
2T + 6.98 = 123.62

Next, we isolate the term containing T by subtracting 6.98 from both sides:
2T = 123.62 - 6.98
2T = 116.64

Finally, we divide both sides by 2 to solve for T:
T = 116.64 / 2
T = 58.32

Now that we know the FCI for tennis is \$58.32, we can substitute this value back into the second equation to find the FCI for basketball:
B = 58.32 + 6.98
B = 65.30

Therefore, the FCI for tennis is \$58.32, and the FCI for basketball is \$65.30.