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
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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?
Answer by london maths tutor(243) (Show Source): You can put this solution on YOUR website!
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.
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