SOLUTION: Ariel purchased x student tickets for $7 each and y adult tickets for $9 each at the movie theater. She spent a total of $120 and bought 16 tickets in all. The system of equations

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Ariel purchased x student tickets for $7 each and y adult tickets for $9 each at the movie theater. She spent a total of $120 and bought 16 tickets in all. The system of equations       Log On


   

Question 783440: Ariel purchased x student tickets for $7 each and y adult tickets for $9 each at the movie theater. She spent a total of $120 and bought 16 tickets in all. The system of equations shown below can be used to determine how many of each type of ticket Ariel purchased.

Found 2 solutions by stanbon, Cromlix:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Ariel purchased x student tickets for $7 each and y adult tickets for $9 each at the movie theater. She spent a total of $120 and bought 16 tickets in all. The system of equations shown below can be used to determine how many of each type of ticket Ariel purchased.
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Quantity Equation:: x + y = 16 tickets
Value Equation:::: 7x +9y = 120 dollars
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Cheers,
Stan H.
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Answer by Cromlix(4381) About Me  (Show Source):
You can put this solution on YOUR website!
x + y = 16...1
7x + 9y = 120...2
Multiply (1) by 9
9x + 9y = 144...3
7x + 9y = 120...2
Subtract (2) from (3)
2x = 24
x = 12
Substitute x = 12 into (1)
12 + y = 16
y = 16 - 12
y = 4
Ariel purchased 12 Student
tickets and 4 Adult tickets
Hope this helps.
:-)