Problema 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 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 $_____.

Answer provided by our tutors

let


x = FCI for tennis


y = FCI for basketball


the FCIs for an Independent tennis league and an Independent basketball league totaled $123.62:


x + y = 123.62


the basketball FCI was $$6.98 more than that of tennis:


y = 6.98 + x


by solving the system of equations:


x + y = 123.62


y = 6.98 + x


we find:


x = $58.32


y = $65.30


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The FCI for tennis was $58.32 and the FCI for basketball was $65.30.