SOLUTION: Assistanace please.... Receipts for a concert attended by 450 people were $27, 750. If reserved-seats tickets were $70.00 and general –admission tickets were $40.00, how many of

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: Assistanace please.... Receipts for a concert attended by 450 people were $27, 750. If reserved-seats tickets were $70.00 and general –admission tickets were $40.00, how many of      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 214073: Assistanace please....
Receipts for a concert attended by 450 people were $27, 750. If reserved-seats tickets were $70.00 and general –admission tickets were $40.00, how many of each type of tickets were sold?

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let x = number of general-admission seats sold
Then 450+-+x will be the number of reserved-seat tickets sold
given:
Receipts for all tickets = 27750
Receipts for general-admission tickets = 40x
Receipts for reserved-seat tickets = 70%2A%28450+-+x%29
-------------------------------------------------------
40x+%2B+70%2A%28450+-+x%29+=+27750
40x+%2B+31500+-+70x+=+27750
-30x+=+27750+-+31500
-30x+=+-3750
x+=+125
450+-+x+=+450+-+125
450+-+x+=+325
125 general-admission tickets and 325 reserved-seat tickets were sold
check answer:
40x+%2B+70%2A%28450+-+x%29+=+27750
40%2A125+%2B+70%2A325+=+27750
5000+%2B+22750+=+27750
27750+=+27750
OK