Answer
a) 69 dollars for adult ticket
b) 49 dollars for child ticket
c) Yes, the group should use the group rate. This would save the group 60 dollars.
Work Step by Step
a)
x=adult, y=child
$4x+2y=374$
$2x+3y=285$
$4x+2y=374$
$(4x+2y)/-2=374/-2$
$-2x-y=-187$
$2x+3y=285$
$2x+3y+(-2x-y)=285+(-187)$
$2x-2x+3y-y=285-187$
$2y=98$
$2y/2=98/2$
$y=49$
$4x+2y=374$
$4x+2*49=374$
$4x+98=374$
$4x+98-98=374-98$
$4x=276$
$4x/4=276/4$
$x=69$
c)
4 adults and 16 children tickets for 1000 dollars
$4*69+16*49$
$276+784$
$1060$
$1060 > 1000$
