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Applications for systems of equations
There were 330 people at a play. The Admission price was $3 for adults and $1 for children. The admission receipts were $650. How many adults and how many children attended?

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If adults=a and children=c

\left \{ {{c+a=330} \atop {3c+a=650}} \right.

-c-a=-330
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2c=320, c=160, a=170
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