SOLUTION: At the opening basketball game, 1000 tickets were sold. Adult tickets cost $3.00 and student tickets cost $1.50. If $2475 was collected at the door, how many adult tickets were sol

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: At the opening basketball game, 1000 tickets were sold. Adult tickets cost $3.00 and student tickets cost $1.50. If $2475 was collected at the door, how many adult tickets were sol      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 154230: At the opening basketball game, 1000 tickets were sold. Adult tickets cost $3.00 and student tickets cost $1.50. If $2475 was collected at the door, how many adult tickets were sold?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let a= the number of adult tickets sold
Let s= the number of student tickets sold
a+%2B+s+=+1000
3a+%2B+1.5s+=+2475
------------------
Since a+%2B+s+=+1000,
a+=+1000+-+s
Substituting:
3%2A%281000+-+s%29+%2B+1.5s+=+2475
3000+-+3s+%2B+1.5s+=+2475
-1.5s+=+-525
s+=+350
And since a+=+1000+-+s
a+=+1000+-+350
a+=+650
650 adult tickets were sold
check answer:
3a+%2B+1.5s+=+2475
3%2A650+%2B+1.5%2A350+=+2475
1950+%2B+525+=+2475
2475+=+2475
OK