A group of x people signed up for an aerobics course and shared
the total cost of $2070.
One week before the start of the course, 6 people withdrew but 3
new members signed up for the course. The total cost now increased
by $30
If the cost per person was 37 dollars more than what was
orignally expected, form an equation in x and show that it reduces
to 37x^2 -141x -6210 = 0
Tried forming a number of equations but to no avail.
(x-3)((2070/x) + 37) = 2100
(x-3) = current number of members
((2070/x) + 37) = current cost per member
2100 = current total cost
