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 521803: 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 elimination and i dont know what to do with the multiplication
Answer by oberobic(2304) About Me  (Show Source):
You can put this solution on YOUR website!
a = number of adult tickets sold
2a = value of the adult tickets sold
s = number of student tickets sold
1.5s = value of the student tickets sold
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Total ticket sales was $550.
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2a + 1.5s = 550
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The adult tickets were 100 less than 3 times the number of student tickets.
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a = 3s -100
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Substitute for a.
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2(3s-100) + 1.5s = 550
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6s -200 + 1.5s = 550
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7.5s = 750
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s = 100
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substitute s=100 in the other equation
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a = 3s-100
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a = 3(100)-100
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a = 200
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Check the value to be sure this is the correct answer.
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2a = 2*200 = 400
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1.5s = 1.5*100 = 150
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400 + 150 = 550
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Correct.
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Answer: They sold 200 adult tickets and 100 student tickets.
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Done.