Problema Solution
a basketball feildhouse seats 15000. Courtside seats sell for $10, endzone for $7, and balcony for 5$. Total sellout is $94,000. If half the courtside and balcony and all endzone seats are sold, the total is 54,000. How many of each type are there?
Answer provided by our tutors
let
c = the number of courtside seats sold
e = the number of endzone seats sold
b = the number of balckony seats sold
a basketball feildhouse seats 15000
c + e + b = 15000
Total sellout is $94,000
10c + 7e + 5b = 94000
if half the courtside and balcony and all endzone seats are sold, the total is 54,000
10(c/2) + 5(b/2) + 7e = 54000
by solving the system of equations
c + e + b = 15000
10c + 7e + 5b = 94000
10(c/2) + 5(b/2) + 7e = 54000
we find
c = 3000 courtside seats
e = 2000 endzone seats
b = 10,000 balckony seats
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