SOLUTION: Brianna was in charge of selling tickets to a school play. Tickets were available for adults and students. Brianna reported that 192 more student tickets than adult tickets were so

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Question 108221: Brianna was in charge of selling tickets to a school play. Tickets were available for adults and students. Brianna reported that 192 more student tickets than adult tickets were sold. 66% of the tickets sold were student tickets. How many adult tickets were sold? How many student tickets were sold?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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Brianna was in charge of selling tickets to a school play. Tickets were available for adults and students. Brianna reported that 192 more student tickets than adult tickets were sold. 66% of the tickets sold were student tickets. How many adult tickets were sold? How many student tickets were sold?
:
Let a = no. of adult tickets sold
Let s = no. of student tickets sold
Then
(a+s) = total tickets sold
:
It says,"192 more student tickets than adult tickets were sold.", therefore:
s = a + 192
:
It also says, "66% of the tickets sold were student tickets", therefore:
s = .66(a + s)
s = .66a + .66s
s - .66s = .66a
.34s = .66a
Substitute (a+192) of s and find a:
.34(a+192) = .66a
.34a + 65.28 = .66a
.34a - .66a = -65.28
-.32a = - 65.28
a = -.65.28/-.32
a = +204 adults
Then
204 + 192 = 396 students
:
:
Check our solution this way:
Total: 204 + 396 = 600
:
396%2F600 = .66 as given