Question

The Cobb family decided to go roller skating for their reunion. There were a total of 44 people there and all went roller skating. If an adult admission was $5.00 and a child s admission was $3.00 and they paid a total of $168.00, how many children were at the reunion? thank you

Answer 1

$x-children\\\\y-adults\\\\ \left \{ {{x+y=44\ \ -->x=44-y} \atop {3*x+5*y=168}\ \ \ \ \ \ \ \ \ \ } \right. \\\\ Substitution\ method\ \\\\3(44-y)+5y=168\\\\132-3y+5y=168\\\\2y=168-132\\\\2y=36 \ \ |:2\\\y=18\\\x=44-y=44-18=26\\\\There \ were\ 26\ children.$