Question 441209: Bayside insurance offers two health plans. Under plan A, Giselle would have to pay the first $160 of her medical bills, plus 25% of the rest. Under plan B, Giselle would pay the first $240, but only 20% of the rest, for what amount of medial bills will plan B save Giselle money? Assume she has over $240 in 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= 160 + 25.00% of rest
Plan B= 240 + 20.00% of the rest
Plan B < Plan A
240+0.25(x-240)<160+0.25(x-160 )
240+0.20x-60<160+0.25x-40
240-160 -60+40 <0.25x-0.2x
60<0.05 x
1200 < x
X > 1200 for plan B to save money
Answer by ikleyn(53426)  (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 $160 of her medical bills, plus 25% of the rest.
Under plan B, Giselle would pay the first $240, but only 20% of the rest,
for what amount of medial bills will plan B save Giselle money? Assume she has over $240 in 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 = 160 + 0.25*(x - 160).
Plan B = 240 + 0.20*(x - 240).
Plan B < Plan A
240 + 0.2*(x-240) < 160 + 0.25*(x-160)
240 + 0.2x - 48 < 160 + 0.25x - 40
240 - 48 - 160 + 40 < 0.25x - 0.2x
72 < 0.05x
x >  = 1440.
Plan B is cheaper at x > 1440 dollars.
ANSWER. Plan B is cheaper if the bill is greater than $2310.
Solved correctly.
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