Answer:
325 adult tickets and 225 kids tickets
Step-by-step explanation:
a= # of adult tickets
c= # of kids tickets
a+c=550 (because they sold 550 total tickets)
1.50a+1.00c=712.50 (a tickets sold at 1.50 each, and c tickets sold at 1.00 each, for a total of 712.50
now simplify
1.5a+c=712.50 solve for c
c=712.50-1.5a now plug in that value of c to the first equation
a+c=550, so a +(712.50-1.5a)=550
-0.5a+712.50=550
-0.5a=-162.50
a=325, so 325 adult tickets
nw remember a+c = 550, so 325+c=550
c=225, so 225 kids tickets