SOLUTION: 13. Adult tickets for a play cost $16 and child tickets cost $12. If there were 33 people at a performance and the theater collected $472 from ticket sales, how many children atte

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Question 57830: 13. Adult tickets for a play cost $16 and child tickets cost $12. If there were 33 people at a performance and the theater collected $472 from ticket sales, how many children attended the play?
A) 13 children
B) 14 children
C) 15 children
D) 19 children
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Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
13. Adult tickets for a play cost $16 and child tickets cost $12. If there were 33 people at a performance and the theater collected $472 from ticket sales, how many children attended the play?
A) 13 children
highlight%28B%29 14 children
C) 15 children
D) 19 children
:
Let children=x
Then since the rest of the people who attended were adults then adults=33-x
The money made from children's tickets would be: $12x
The money made from adult tickets is: $16(33-x)
The total money made is: $472
:
The equation to solve is:
12x+16(33-x)=472
12x+528-16x=472
-4x+528=472
-4x+528-528=472-528
-4x=-56
-4x/-4=-56/-4
x=14
:
If you are on systems of equations with two equations and two unknowns, then:
let children be:x
let adults be: y
Then your system is:
x+y=33
12x+16y=472
If you solve the first equation for y and substitute it in the second equation you get what I showed you using one equation and one unknown.
Happy Calculating!!!