SOLUTION: Stacey is selling tickets to the school play. The tickets are $6 for adults and $3 for children. She sells twice as many adult tickets as children's tickets and brings in a total o

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Stacey is selling tickets to the school play. The tickets are $6 for adults and $3 for children. She sells twice as many adult tickets as children's tickets and brings in a total o      Log On


   

Question 1103590: Stacey is selling tickets to the school play. The tickets are $6 for adults and $3 for children. She sells twice as many adult tickets as children's tickets and brings in a total of $120. How many of each kind of ticket did she sell?
Answer by josgarithmetic(39629) About Me  (Show Source):
You can put this solution on YOUR website!
VARIABLES
a    number of adult tickets
c    number of children tickets


DESCRIPTION TRANSLATED INTO EQUATIONS, LITERALLY
system%28a%2Fc=2%2C3c%2B6a=120%29

Note that the first equation is the same as a=2c.

SIMPLIFY THE SECOND EQUATION, MULTIPLYING BOTH SIDES BY 1%2F3:
c%2B2a=40
substituting for a=2c
c%2B2%2A2c=40
continuetosolveforc,
.
.
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highlight%28system%28c=8%2Ca=16%29%29