SOLUTION: A total of 1096 tickets were sold for an important math lecture. Math club members paid $29.50 each and non-members paid $35.40 If a total of $37,642 was collected, how many mem

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Question 32250: A total of 1096 tickets were sold for an important math lecture. Math club members paid $29.50 each and non-members paid $35.40
If a total of $37,642 was collected, how many members of the math club attended the lecture?
How many non-memebers attended?
Answer by Cintchr(481) About Me  (Show Source):
You can put this solution on YOUR website!
+m%2Bn=1096+ solve for m
+m=1096-n+
+29.50m%2B35.40n=37%2C642+
Substitute
+29.5%281096-n%29%2B35.40n=37%2C642+
Distribute
+32%2C332-29.50n%2B35.40n=37%2C642+
Combine Like terms
+32%2C332%2B5.9n=37%2C642+
Subtract
+5.9n=5310+
divide by 5.9
+n=900+
Plug this back into the first equation
+m=1096-n+
+m=1096-900+
+m=196+
Members = 196
Non members = 900