Question 443021: Bayside insurance offers two health plans. Under plan A, Giselle would have to pay the first $100 of her medical bills plus 25% of the rest. Under plan B, Giselle would pay the first $160, but only 20% of the rest.
For what amount of medical bills will plan B save Giselle money? assume she has over $160 in bills.Giselle would save with plan B if she had more than what in medical bills?
Found 2 solutions by mananth, ikleyn:
Answer by mananth(16949)   (Show Source):
You can put this solution on YOUR website! let the bill amount be x
Plan A= 100 + 25.00% of rest
Plan B= 160 + 20.00% of the rest
Plan B < Plan A
160 + 0.25 (x- 160 ) < 100
160 + 0.20 x -40 < 100
160 - 100 -40 + 25 < 0.25
45 < 0.05 x
900 < x
x should be greater than 900
Answer by ikleyn(53521)  (Show Source):
You can put this solution on YOUR website! .
Bayside insurance offers two health plans.
Under plan A, Giselle would have to pay the first $100 of her medical bills plus 25% of the rest.
Under plan B, Giselle would pay the first $160, but only 20% of the rest.
For what amount of medical bills will plan B save Giselle money?
assume she has over $160 in bills. Giselle would save with plan B if she had more than what in medical bills?
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In the post by @mananth, the numbers, the solution and the answer are incorrect.
I came to bring a correct solution.
let the bill amount be x
Plan A = 100 + 0.25*(x - 100).
Plan B = 160 + 0.20*(x - 160).
Plan B < Plan A
160 + 0.2*(x-160) < 100 + 0.25*(x-100)
160 + 0.2x - 32 < 100 + 0.25x - 25
160 - 32 - 100 + 25 < 0.25x - 0.2x
53 < 0.05x
x >  = 1060.
Plan B is cheaper at x > 1060 dollars.
ANSWER. Plan B is cheaper if the bill is greater than $1060.
Solved correctly.
As I see, this is already the third problem of this type that @mananth
has solved incorrectly, but it seems he's not very concerned about it.
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