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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 ​$124.41. The arena football FCI was ​$7.79 more than that of golf. What were the FCIs for these​ sports?

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Answer:

Golf league FCI = $58.31

Arena football league FCI = $66.10

Step-by-step explanation:

Let G be the fan cost index for the golf league and F be the fan cost index for the football league. The following system of equations can be modeled from the given information:

[tex]F+G = 124.41\\F=G+7.79[/tex]

Solving this linear system (substituting the second equation into the first one):

[tex]7.79+G+G = 124.41\\G= \$58.31\\F = 58.31+7.79\\F=\$66.10[/tex]

Golf league FCI = $58.31

Arena football league FCI = $66.10

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