SOLUTION: Adult tickets for a play cost $14 and child tickets cost $4. If there were 28 people at a performance and the theater collected $242 from ticket sales, how many children attended

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Question 110753: Adult tickets for a play cost $14 and child tickets cost $4. If there were 28 people at a performance and the theater collected $242 from ticket sales, how many children attended the play? Solve this problem using algebraic equations.
Thank you.
Found 2 solutions by scott8148, stanbon:
Answer by scott8148(6628) (Show Source):
You can put this solution on YOUR website!
let x=children, so 28-x=adults ... 4(x)+14(28-x)=242

Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website!
Adult tickets for a play cost $14 and child tickets cost $4. If there were 28 people at a performance and the theater collected $242 from ticket sales, how many children attended the play? Solve this problem using algebraic equations.
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Let # of adult tickets be "x" ; Value of these is 14x dollars
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# of child tickets is "28-x" ; value of these is 4(28-x) = 112-4x dollars
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EQUATION:
value + value = 242 dollars
14x + 112-4x = 242
10x = 130
x = 13 (# of adult tickets sold)
28-x = 15 (# of child tickets sold)
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Cheers,
Stan H.