Question

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 golf league and an independent arena football league totaled $94.65.The arena football FCI was 8.37 more than that of golf.what were the FCIs for these sports?

Answer 1

The FCI for golf (G) and football (F) totaled $94.65.

`F+G=94.65`

The arena football FCI was 8.37 more than that of golf.

`F=8.37\cdot G`

Then, replacing the first equation with the second one, we have:

`\begin{gathered} F+G=94.65 \\ (8.37)\cdot G+G=94.65 \\ 9.37\cdot G=94.65 \\ G=(94.65)/(9.37) \\ G\approx10.1 \\ F=8.37\cdot G=8.37\cdot10.1=84.5 \end{gathered}`

The football FCI is $84.5 and the golf FCI is $10.1.