Question 955953
A=adult; C=child
A+C=19
C=19-A
$15A+$5C=$155 Substitute for C,
$15A+$5(19-A)=$155
$15A+$95-$5A=$155 Subtract $95 from each side.
$10A=$60
A=6 ANSWER 1: there were 6 adults.
C=19-A=19-6=13 ANSWER 2: There were 13 children.
CHECK:
$15A+$5C=$155
$15(6)+$5(13)=$155
$90+$65=$155
$155=$155