SOLUTION: Hi, Does anyone know how this question works? Write the system of equations for the following applications. Do NOT solve the system!!! (I don't know why that last sentence is

Question 355074: Hi,
Does anyone know how this question works?
Write the system of equations for the following applications. Do NOT solve the system!!! (I don't know why that last sentence is written at the end of the question, but it seems like it would be worth knowing both the system of equations and the solution):
A movie theater charges $7 for adults, $5 for children under age 17, and $4 for seniors over age 60. For one showing of the movie Batman the theater sold 222 tickets and took in $1383. If twice as many adult ticket swere sold as the total for children and senior tickets, how many tickets of each kind were sold?
Many thanks!
Ron
Answer by jrfrunner(365) (Show Source): You can put this solution on YOUR website!
you have 3 unknowns, so you need to set up 3 seperate equations;
--
let A=number of Adult tickets sold
let C=numer of children tickets sold
let S=numbe of senior tickets sold
--
equation 1 (number of tickets): A+C+S=222
equation 2 (revenues): 7A+5C+4S=1383
equation 3 (relationship): 2A=S+C
--
so now you have 3 equations in 3 unknowns
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