Question

members of the wide waters club pay $105 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?

Answer 1

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.