SOLUTION: Tickets for a minor league hockey game cost $13.50 for the green section and $9.00 for the blue section. A total of 7,420 seats were sold for a total of $79830.00. how many seats w

Algebra ->  Probability-and-statistics -> SOLUTION: Tickets for a minor league hockey game cost $13.50 for the green section and $9.00 for the blue section. A total of 7,420 seats were sold for a total of $79830.00. how many seats w      Log On


   



Question 1150633: Tickets for a minor league hockey game cost $13.50 for the green section and $9.00 for the blue section. A total of 7,420 seats were sold for a total of $79830.00. how many seats were sold in the green section and how many tickets were sold in the blue section?
Answer by ikleyn(52794) About Me  (Show Source):
You can put this solution on YOUR website!
.

Let x be the number of "green" tickets.

Then the number of "blue" tickets is (7420-x).


The total money equation is, therefore,


    13.50x + 9*(7420-x) = 79830    dollars.


From the equation, express x and calculate


    x = %2879830-9%2A7420%29%2F%2813.50-9%29 = 2900.


ANSWER.  2900 "green" tickets and the rest, (7420-2900) = 4520 "blue" tickets.


CHECK.   13.50*2900 + 9*4520 = 79830 dollars.   ! Precisely correct !

Solved.