sexyrexy88
Jun 18, 2013, 09:42 AM
A jazz concert brought in $124,000 on the sale of 7,900 tickets. If tickets sold for $10 and $20 each, how many of each type of tickets were sold?
PAPPAGEORGIO
Jun 28, 2013, 02:02 PM
This problem gives you two unknowns (Two different types of tickets). That means you will need at least two equations.
Lets say the $10.00 ticket is named "x" and the $20.00 ticket is named "y". Your two equations would be as follows... 
 
$10.00x + $20.00y = $124,000              eqn 1
 
x + y = 7,900 tickets                               eqn 2
 
solve for either x or y in one of the equations. I use eqn 2 because it looks more simple.
 
x = 7900 - y                                             eqn 3
 
now "plug" eqn 3 into eqn 1
 
$10.00 (7900 - y) + 20.00y = 124000         eqn 4
 
if you factor this out you are left with
 
79000 - 10y + 20y = 124000                        eqn 5
 
From here just get y by itself. Once you have y you can plug it into eqn 2 and you will have your answer. I hope I set it up enough for you to figure out. Give it a shot and let me know if you are still stuck.