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 were sold, then how many of eac

Question 165626: 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 were sold, then how many of each were sold?
Found 2 solutions by oscargut, Mathtut:
Answer by oscargut(2103) (Show Source): You can put this solution on YOUR website!
number of adult tickets =x
number ofstudents tickets =y
3x+2y=824
2y=x
then
4x=824 then x=206 and y=103
Answer by Mathtut(3670) (Show Source): You can put this solution on YOUR website!
a= # of adults s= # of students so 3a+2s=824 and a=2s so substituting a in the second equation ,into the first equation we get 3(2s)+2s=824 so 8s=824
and s=103 so since a=2 times s(103) then a =206
answer: 206 adult tickets and 103 student tickets were sold.
RELATED QUESTIONS
Tickets for a concert were sold to adults for $3 and to students for $2. If the total... (answered by Mathtut)
Tickets for a concert were sold to adults for $3 and to students for $2. If the total... (answered by stanbon!)
Tickets for a concert were sold to adults for $3 and to students for $2. If the total... (answered by checkley77)
Tickets for a concert were sold to adults for $3 and to students for $2. If the total... (answered by oscargut,checkley77)
Tickets for a concert were sold to adults for $3 and to students for $2. If the total... (answered by checkley77)
(25) Tickets for a concert were sold to adults for $3 and to students for $2. If the... (answered by monika_p,stanbon)
Tickets for a concert were sold to adults for $3 and to students for $2. If the total... (answered by Mathtut)
Tickets for a concert were sold to adults for $3 and to students for $2. If the total... (answered by checkley77)
Tickets for a concert were sold to adults for $3 and to students for $2. If the total... (answered by drj)