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Tickets to a concert cost $2 for children and $5 for adults. If 630 people attended the concert and the ticket sales totaled $2,910, how many children attended the concert? 36 50 80 120
Let the number of children who attended be [c] and adults [a]. \[\frac{\begin{array}{} c+a=630 \hspace{0.9cm} Ec.1 \\ 2c+5a=2\,910 \hspace{0.25cm} Ec.2 \end{array}} { \dfrac{\begin{matrix} -2c-2a=-1\,260 \\ 2c+5a=2\,910 \end{matrix}}{3a=1650} } \\a=550 \\ \Rightarrow c=630-550=80\]
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