SOLUTION: Write a system of equations to describe the situation below, solve using substitution, and fill in the blanks. Jim is going to the water slides and needs to figure out which dea

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Write a system of equations to describe the situation below, solve using substitution, and fill in the blanks. Jim is going to the water slides and needs to figure out which dea      Log On


   



Question 1151168: Write a system of equations to describe the situation below, solve using substitution, and fill in the blanks.
Jim is going to the water slides and needs to figure out which deal is better. He can pay $39 to go on the water slides as much as he wants, or he can pay $15 to get in, plus an additional $3 per trip down the water slides. If Jim goes on a certain number of trips down the water slides, the two options are equivalent in terms of cost. What is the cost? How many trips is that?

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +n+ = number of trips down water slides
Let +C+ = cost of water slides
-------------------------------------
The 2 options are:
(1) +C+=+39+
(2) +C+=+15+%2B+3n+
---------------------------------
Make the costs equivalent
+15+%2B+3n+=+39+
+3n+=+24+
+n+=+8+
With 8 trips, the costs are equal, and the cost is:
+C+=+15+%2B+3%2A8+
+C+=+39+
$39 /trip