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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asked Jul 18, 2015 194k views

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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?

Mathematics
high-school

Soramimo asked

by Soramimo

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x - young
y - adult

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

Ryan Skarin answered Jul 24, 2015

by Ryan Skarin

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