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members of the wide waters club pay $105 per summer season plus $9.50 each time they rent a boat. non members 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 :

To answer this problem, we need to make a system of equations.

C= cost (in place of y in typical equation)
t= number of times renting boat (in place of x in typical equation)

Members- C=9.5t+105
Non-Members- C=14.75t

You can set them equal to each other because of transitive property.

9.5t+105=14.75t
Subtract 9.5t both sides
105=5.25t
Divide 5.25 on both sides
t=20

So it takes 20 times to rent a boat and have the same cost.

:)

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