SOLUTION: For the Mr. Arlington contest, there were 206 more tickets sold at the door than were sold in advance. The tickets sold at the door cost $10 and the tickets sold in advance cost $6

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Question 214148: For the Mr. Arlington contest, there were 206 more tickets sold at the door than were sold in advance. The tickets sold at the door cost $10 and the tickets sold in advance cost $6. The total amount of sales for both types of tickets was $6828. How many of each type of ticket was sold?
Answer by elima4(15) About Me  (Show Source):
You can put this solution on YOUR website!
d = door tickets
a = advanced
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d = 206 + a
10d+ 6a = 6828
since we already have what d =, plug that into the second equation;
10(206 + a)+6a = 6828
2060 + 10a + 6a = 6828
Collect like terms and subtract 2060 from both sides;
16a = 4768
a= 298
Now plug that into the first equation;
d = 206 + 298
d = 504
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Door tickets = 504
advanced tickets = 298
:)