laurawcatlover laurawcatlover

06-06-2014
Mathematics

Answered

The museum charges $12.50 for youth admission and $17.50 for adults. One day the museum collected $1535 from a total of 110 youths and adults. How many admissions of each type were sold?

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konrad509 konrad509

06-06-2014

x - young
y - adult

\(12.50x+17.50y=1535\\ x+y=110\\\\ 12.50x+17.50y=1535\\ x=110-y\\\\ 12.50(110-y)+17.50y=1535\\ 1375-12.50y+17.50y=1535\\ 5y=160\\ y=32\\\\ x=110-32\\ x=78\)

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