SOLUTION: A JAZZ CONCERT BROUGHT IN $158,000 ON THE SALE OF 7,800 TICKETS. IF THE TICKETS SOLD FOR $15 AND $25 EACH, HOW MAY OF EACH TYPE OF TICKET WERE SOLD?

Algebra ->  Proportions -> SOLUTION: A JAZZ CONCERT BROUGHT IN $158,000 ON THE SALE OF 7,800 TICKETS. IF THE TICKETS SOLD FOR $15 AND $25 EACH, HOW MAY OF EACH TYPE OF TICKET WERE SOLD?      Log On


   

Question 330380: A JAZZ CONCERT BROUGHT IN $158,000 ON THE SALE OF 7,800 TICKETS. IF THE TICKETS SOLD FOR $15 AND $25 EACH, HOW MAY OF EACH TYPE OF TICKET WERE SOLD?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let A be the number of $15 tickets, B the number of $25 tickets.
1.A%2BB=7800
2.15A%2B25B=158000
From eq. 1,
A=7800-B
Substitute in eq. 2,
15%287800-B%29%2B25B=158000
117000-15B%2B25B=158000
10B=41000
B=4100
Then from eq. 1,
A%2B4100=7800
A=3700
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3700 $15 tickets and 4100 $25 tickets were sold.