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 were sold, then how many for each were sold

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> 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 were sold, then how many for each were sold      Log On


   

Question 195316: 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 were sold, then how many for each were sold?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
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 were sold,
then how many for each were sold?
:
a = no. of adults, s = no. of students
:
Write an equation for each statement
:
"Tickets for a concert were sold to adults for $3 and to students for $2.
If the total receipts were $824"
3a + 2s = 824
:
" and twice as many adult tickets were sold,"
a = 2s
:
then how many for each were sold?
:
Substitute 2s for a in the 1st equation
3(2s) + 2s = 824
6s + 2s = 824
8s = 824
s = 824%2F8
s = 103 student tickets were sold
then
a = 2(103)
a = 206 adult tickets sold
:
:
Check solution using the 1st equation
3(206) + 2(103) = 824
618 + 206 = 824