SOLUTION: Tickets for a concert were sold to adults for $3 and to students for $2. If the total receipts were $824 and twice as many adult tickets as students tickets were sold, then how man

Algebra ->  Linear-equations -> SOLUTION: Tickets for a concert were sold to adults for $3 and to students for $2. If the total receipts were $824 and twice as many adult tickets as students tickets were sold, then how man      Log On


   



Question 167337: Tickets for a concert were sold to adults for $3 and to students for $2. If the total receipts were $824 and twice as many adult tickets as students tickets were sold, then how many of each were sold?
Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
number of adults call a and number of students call s
a=2s------->eq.1
3a+2s=824-->eq.2
:
substituting a's value from eq 1 into eq 2. we arrive at 3%282s%29%2B2s=824
:
8s=824 so s=103
:
therefore a=2(103)=206
highlight%28adults-tickets=206%29
highlight%28student-tickets=103%29