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

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) (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
.
Total ticket sales was $550.
.
2a + 1.5s = 550
.
The adult tickets were 100 less than 3 times the number of student tickets.
.
a = 3s -100
.
Substitute for a.
.
2(3s-100) + 1.5s = 550
.
6s -200 + 1.5s = 550
.
7.5s = 750
.
s = 100
.
substitute s=100 in the other equation
.
a = 3s-100
.
a = 3(100)-100
.
a = 200
.
Check the value to be sure this is the correct answer.
.
2a = 2*200 = 400
.
1.5s = 1.5*100 = 150
.
400 + 150 = 550
.
Correct.
.
Answer: They sold 200 adult tickets and 100 student tickets.
.
Done.
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