SOLUTION: Tickets to 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

Algebra ->  Linear-equations -> SOLUTION: Tickets to 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      Log On


   

Question 302161: Tickets to 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?
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Tickets to 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?

Let the number of adult tickets be "a" and the number of student tickets be "s".
3a + 2s = 824 ( The total receipts were $824) ... equation 1
a = 2s ( twice as many adult tickets as student tickets)... equation 2
Put equation 2 into equation 1
3(2s) + 2s = 824
6s + 2s = 824
8s = 824
s = 824/8
s = 103
a = 2s
a = 2(103)
a = 206
Therefore, 103 students tickets and 206 adults tickets are sold.