Question 439388: Bayside insurance offers two health plans. Under plan a, Giselle would have to pay the first $70 of her medical bills, plus 35% of the rest. Under plan b, Giselle would have to pay the first $230 and 30% for of the rest. For what amount of medical bills will plan b save Giselle money?
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= 75 + 35.00% of rest
Plan B= 230 + 30.00% of the rest
Plan B < Plan A
230+0.35(x-230)<75+0.35*x
230+0.30x-80.5<75+0.35x-26.25
230-75-80.5+26.25<0.35x-0.3x
100.75<0.05x
2015
the bill should be greater than $2015
Answer by ikleyn(53742)  (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 $70 of her medical bills,
plus 35% of the rest.
Under plan B, Giselle would have to pay the first $230 and 30% for of the rest.
For what amount of medical bills will plan B save Giselle money?
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In the post by @mananth, the conception, the numbers, the solution and the answer are incorrect.
I came to bring a correct solution.
let the bill amount be x
Plan A = 70 + 0.35*(x - 70).
Plan B = 230 + 0.3*(x - 230).
Plan B < Plan A
230 + 0.3*(x-230) < 70 + 0.35*(x-70)
230 + 0.30x - 69 < 70 + 0.35x - 24.5
230 - 69 - 70 + 24.5 < 0.35x - 0.3x
115.5 < 0.05x
X > 115.5/0.05 = 2310
ANSWER. Plan B is cheaper if the bill is greater than $2310.
Solved correctly.
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