SOLUTION: An academic conference holds its national conference annually. This year, the conference registration fee was $120 for members and $200 for nonmembers. A total of $268,120 was coll

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Question 792301: An academic conference holds its national conference annually. This year, the conference registration fee was $120 for members and $200 for nonmembers. A total of $268,120 was collected in registration fees from 2017 registrants. How many nonmembers registered for the conference.
Answer by stanbon(75887) About Me  (Show Source):
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An academic conference holds its national conference annually. This year, the conference registration fee was $120 for members and $200 for nonmembers. A total of $268,120 was collected in registration fees from 2017 registrants. How many nonmembers registered for the conference.
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Using 2 variables:
Quantity:: m + n = 2017
Value::: 120m+200n = 268,120
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3m + 3n = 3*2017
3m + 5n = 6703
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2n = 652
n = 326 (# of nonmember tickets sold)
m + 326 = 2017
m = 1691 (# of member tickets sold)
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Cheers,
Stan H.