Question 110527
Let x=number of children attending
Then 33-x=number of adults, right?

Amount collected from children = $6x
Amount collected from adults=$15(33-x)

And we are told that the above amounts = $360------So:

$6x+$15(33-x)=$360  get rid of parens (distributive law)

$6x+$495-$15x=$360  subtract $495 from both sides

$6x+$495-$495-$15x=$360-$495  collect like terms

-$9x=-$135  divide both sides by -9

x=15-----------------------------------number of children attending

33-x=33-15=18----------------------------number of adults attending

CK

18+15=33
33=33
also

$6*15+$15*18=$360
$90+$270=$360
$360=$360


Hope this helps---ptaylor