<PRE><B>Question 104886</B>
Revenue = Price per Unit * Number of Units Sold
R = PQ
R for adults = Ra = 3A (where A = number of adults)
R for student = Rs = 2B (where B = number of students)
Ra + Rs = 824.
Twice as many adult tickets were sold, means that A = 2B.
Substituting, we have:
Ra = 3A = 3(2B) = 6B.
Rs = 2B
Ra + Rs = 6B + 2B = 8B = 824
Dividing by 8
B = 824/8 = 103
B = number of student tickets
A = 2B = 2(103) = 206 adult tickets sold
ALWAYS check!
3(206) + 2(103) = 824
618 +206 = 824
824=824
CHECK!</PRE>