Problema Solution

a music club draws 27 patrons. if there are seven more musicians than singers in the club, how many patrons are musicians?

Answer provided by our tutors

let


m = the number of musicians

s = the number of singers


a music club draws 27 patrons


m + s = 27


there are seven more musicians than singers in the club


m = s + 7


by solving the system of equations


m + s = 27

m = s + 7


we find


m = 17 musicians


s = 10 singers


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there are 17 patrons that are musicians.