SOLUTION: the cost of an adult ticket for the school play is 2.00. the cost of a student ticket is 1.50 the total income from the sale of tickets was 550.00. the number of adult tickets sold

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Question 521779: the cost of an adult ticket for the school play is 2.00. the cost of a student ticket is 1.50 the total income from the sale of tickets was 550.00. the number of adult tickets sold was 100 less than 3 times the number of student tickets sold. how many of each type of ticket was sold? systems of linear equations
i got the equations 2.00x+1.50y=550.0
x=3(times)y-100
im solving for substitution and i dont know what to do with the multiplication
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
the cost of an adult ticket for the school play is 2.00. the cost of a student ticket is 1.50 the total income from the sale of tickets was 550.00. the number of adult tickets sold was 100 less than 3 times the number of student tickets sold. how many of each type of ticket was sold? systems of linear equations
i got the equations
---------------------
2.00x+1.50y=550.0
x=3(times)y-100
------------
substitute for "x" and solve for "y":
2(3y-100) + 1.5y = 550
6y -200 + 1.5y = 550
7.5y = 750
y = 100 (# of student tickets sold)
----
Solve for "x":
x = 3y-100
x = 200 (# of adult tickets sold)
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Cheers,
Stan H.
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