SOLUTION: Please help me solve this word problem: fabulously fit offers membership of $35 per month plus $50 enrollment fee. the fitness studio offers memberships for $40 per month plus a
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Question 706297: Please help me solve this word problem: fabulously fit offers membership of $35 per month plus $50 enrollment fee. the fitness studio offers memberships for $40 per month plus a $35 enrollment fee. in how many months will the fitness clubs cost the same? what will the cost be? Found 2 solutions by checkley79, josmiceli:Answer by checkley79(3341) (Show Source):
You can put this solution on YOUR website! 35X+50=40X+35
35X-40X=35-50
-5X=-15
X=-15/-5
X=3 MONTHS THE FEES WILL BE EQUAL.
PROOF:
35*3+50=105+50=$155 TOTAL COST.
40*3+35=120+35=$155 DITTO.
You can put this solution on YOUR website! Let = number of months enrolled in each club
Let = total cost of belonging to a club
Equation for Fabulously fit:
(1) dollars
Equation for Fitness Studio:
(2) dollars
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Just make the costs equal:
In 3 months the costs will be the same
(1)
(1)
(1)
(1)
and, also
(2)
(2)
(2)
(2)
The Cost when both are equal is $155 in 3 months
Here's a plot for both clubs:
(