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NemiM [27]
2 years ago
10

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
Mathematics
1 answer:
mote1985 [20]2 years ago
6 0
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.
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The equation given in the question has two unknown variables in the form of "x" and "y". The exact value of "x" and "y" cannot be determined as two equations are needed to get to the exact values of "x" and "y". This equation can definitely be used to show the way for determining the values of "x" in terms of "y"and the value of "y" in terms of "x". Now let us check the equation given.
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