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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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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?

User Soramimo
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1 Answer

1 vote
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
User Ryan Skarin
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