Question #77db5

1 Answer

Answer:

Child ticket #"= 14 dollars"#
Senior ticket #"= 8 dollars"#

Explanation:

Let

  • #x =# child tickets
  • #y =# senior tickets.

The two equations are

#3y+x=38#

and

#3y+2x=52#

I would recommend on this problem elimination over substitution and graphing. So times the first equation by #-1# and that would equal

#-3y-x=-38#

So

#-3y-x=-38#
#3y+2x=52#

Add the two equations. The #y#'s would cancel out to give you

#x=14#

So now plug #14# into either equation. I'm going to use the second one.

#3y+2(14)=52#

#3y+28=52#

#3y=24#

#y=24/3#

#y=8#