Members of the wide waters club pay 105 dollars per summer season, plus 9.50 each time they rent a boat. Nonmembers must pay 14.75 each time they rent a boat. How many times would a member and a non-member have to rent a boat in order to pay the same amount?

When handling problems of this nature make sure you setup the equations.

x = number of times they rent a boat.

Members

Cost = 105 + 9.50x

Non members because members don't have to pay the 105 we leave it out.

Cost = 14.75x

so now to determin when cost would be equal we set the two equations = to each other

105 + 9.50x = 14.75x

now solve for x

105 = 5.25x

20 = x

so they would have to rent 20 times to equal each other.