353 people attend a local play at a private club. members get tickets for $2.75, while non-members must pay $6.50. if the total gate for the play came to $1762, how many members and non-members came to the play
We will be dealing with a system of equations and we'll find the answer by using elimination. M= members and N= non-members M+N=353 2.75M+6.50N=1762 We can eliminate M by multiplying the first equation by -2.75. -2.75m-2.75n=-970.75 2.75m+6.50N=1762 3.75n=791.25 Now divide 791.25/3.75=211 So there was 211 non-member tickets. All we have to do to find the number of member tickets is replace n with its value. 211+m=353 353-211=m=142 There are 142 member tickets. To check our answer, let's put both values in for the second equation. 2.75(142)+6.50(211) 390.50+1,371.50 1762 So, there were 142 members and 211 non-members that came to the play.
