80,232 views
32 votes
32 votes
An amusement park has two types of season passes. Plan 1 charges a one-time fee of $170.00 for admission plus $8.00 every trip for parking. Plan 2 charges a one-time fee of $93.00 for parking plus $15.00 every trip for admission. For what number of trips is the cost of these plans the same?

User Navneet Krishna
by
2.7k points

2 Answers

20 votes
20 votes
eleven trips would make the cost the same.
User Ries Vriend
by
2.9k points
11 votes
11 votes
You would start out by writing the two equations of the plans.
Plan 1: 170 + 8x
Plan 2: 93 + 15x
Then set both equations equal to each other:
170 + 8x= 93 + 15x
Then substrate 8x from both sides:
170=93+7x
Then subtract 93 from both sides:
77=7x
(Remember you can only subtract or add terms from/ to other like terms, ie: 7x-7x or 170-93 NOT 93-7x this would not work)
Then divide both sides by 7:
11=x
Your answer would be 11.
User Biomiha
by
3.0k points
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