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 student tickets were sold, then how man

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Question 178795: 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 student 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!
let the number of adult and student tickets be a and s respectively
:
a=2s..........eq 1
3a+2s=824.....eq 2
:
take a's value in eq 1 and plug that into eq 2
:
3(2s)+2s=824
:
8s=824
:
highlight%28s=103%29number of student tickets sold
:
highlight%28a=2%28103%29=206%29number of adult tickets sold