Problema Solution

There were 180 people at a civic club fundraiser. Members paid $4.50 per ticket and non members paid $8.25 per ticket. If total receipts amounted to $1222.50, how many members and how many nonmembers attended the fundraiser.

Answer provided by our tutors

let


x = the number of members that attended the fundraiser


y = the number of nonmembers that attended the fundraiser


There were 180 people at a civic club fundraiser:


x + y = 180


Members paid $4.50 per ticket and non members paid $8.25 per ticket, total receipts amounted to $1222.50:


4.50x + 8.25y = 1222.50


by solving the system of equations:


x + y = 180


4.50x + 8.25y = 1222.50


we find:


x = 70 members


y = 110 nonmembers


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70 members and 110 nonmembers attended the fundraiser.