SOLUTION: 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 l

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Question 1126412: 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 hockey league totaled ​$122.44. The hockey FCI was ​$6.34 more than that of golf. What were the FCIs for these​ sports?
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


(1) Subtract the "extra" $6.34 from the total of $122.44.
(2) Split the remaining amount in half. That is the FCI for the golf league.
(3) Add the $6.34 back to the FCI for the golf league to get the FCI for the hockey league.

That's the simple common sense solution. If you need formal algebra, the sequence of calculations will be the same:

x = golf league
x+6.34 = hockey league

x%2B%28x%2B6.34%29+=+122.44
2x%2B6.34+=+122.44
2x+=+116.10
x+=+58.05

ANSWERS: golf $58.05; hockey $58.05+$6.34 = $64.39