Problema Solution

The registration fee at a convention of the NCTM was $5 for members and $9 for non-members. If receipts at the convention were $4450 and 850 people were in attendance, How many member were registered?

Answer provided by our tutors

let


m = the number of members registered

n = the number of non-members registered


850 people were in attendance


m + n = 850


receipts at the convention were $4450


5m + 9n = 4450


by solving the system of equations


m + n = 850

5m + 9n = 4450


we find


m = 800 members


n = 50 non-members


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there were 800 members registered.