SOLUTION: Tickets for a high school dance cost $1.00 each if purchased in advance of the dance, but $1.50 each if bought at the door. If 100 tickets were sold and $120 was collected, how man

Question 725854: Tickets for a high school dance cost $1.00 each if purchased in advance of the dance, but $1.50 each if bought at the door. If 100 tickets were sold and $120 was collected, how many tickets were sold in advance and how many we're sold at the door?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = number of tickets sold in advance
Let = number sold at the door
given:
(1)
(2)
-----------------------
(2)
(2)
Multiply both sides of (1) by
and subtract (1) from (2)
(2)
(1)

and, since
(1)
(1)
(1)
60 tickets were sold in advance
40 tickets were sold at the door
check:
(2)
(2)
(2)
(2)
OK
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