The diagram has been inserted below.
There is a circle.
Two chords, BC and DE intersect at a point F inside the circle.
A chord of a circle is a straight line segment whose endpoints both lie on the circle.
To know the chord length, we need to know the radius or central angle or the perpendicular distance to the center.
Let's assume
the price of each train ticket is x
we are given
total number of family members =5
so, total cost of ticket = total number of family members*the price of each ticket
so, total cost of ticket =5*x
so, total cost of ticket =5x
now, we have
each family member buys a boxed lunch for $6.50
so, total cost of lunch box = total number of family members*price of each lunch box
so, total cost of lunch box = 5*6.50
total cost of trip = total cost of ticket+total cost of lunch box
we are given
total cost of trip is $248.50
now, we can plug values
and we get
now, we can solve for x
so,
the price of each train ticket is $43.2..........Answer