A museum charges ​$13.50 for a​ one-day youth admission and ​$16.50 for a​ one-day adult admission. One​ Friday, the museum collected ​$1581 from a total of 110 youths and adults. How many admissions of each type were​ sold?

Answer 1

same type of problem as your previous post ....

students --- x
adults ----- y

x+y = 110 ---> y = 110-x
13.5x + 16.5y = 1581

sub the first into the second:
13.5x + 16.5(110-x) = 1581
13.5 + 1815 - 16.5x = 1581
-3x = -234
x = 78

So 78 students and 32 adults