SOLUTION: A LOCAL WATER PARK HAS TWO TYPES OF SEASON PASSES. PLAN a COSTS A ONE TIME FEE OF $147 FOR ADMISSION PLUS $8 FOR PARKING EVERY TRIP. PLAN b COSTS A ONE TIME FEE OF $52 FOR PARKING

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A LOCAL WATER PARK HAS TWO TYPES OF SEASON PASSES. PLAN a COSTS A ONE TIME FEE OF $147 FOR ADMISSION PLUS $8 FOR PARKING EVERY TRIP. PLAN b COSTS A ONE TIME FEE OF $52 FOR PARKING       Log On


   



Question 957059: A LOCAL WATER PARK HAS TWO TYPES OF SEASON PASSES. PLAN a COSTS A ONE TIME FEE OF $147 FOR ADMISSION PLUS $8 FOR PARKING EVERY TRIP. PLAN b COSTS A ONE TIME FEE OF $52 FOR PARKING PLUS $21 FOR EVERY TRIP. HOW MANY VISITS MUST A PERSON MAKE FOR PLAN a AND b TO BE EQUAL IN VALUE.

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +C+ = the cost of the plan
Let +n+ = number of trips to water park
Plan a:
+C+=+8n+%2B+147+
Plan b:
+C+=+21n+%2B+52+
-------------------
Make the costs of (a) and (b) equal
+8n+%2B+147+=+21n+%2B+52+
+13n+=+95+
+n+=+7.3077+
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A person cannot make a fraction of a visit,
and +7+ doesn't make the costs equal,
so +8+ visits must be made
-----------------
check:
+C+=+8n+%2B+147+
+C+=+8%2A7.3077+%2B+147+
+C+=+205.4615+
--------------------
+C+=+21n+%2B+52+
+C+=+21%2A7.3077+%2B+52+
+C+=+205.4617+
close enough