Question 443021
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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.



<pre>
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 > {{{53/0.05}}} = 1060.

    Plan B is cheaper at x > 1060 dollars.


<U>ANSWER</U>.  Plan B is cheaper if the bill is greater than $1060.
</pre>

Solved correctly.


As I see, &nbsp;this is already the third problem of this type that @mananth 
has solved incorrectly, &nbsp;but it seems he's not very concerned about it.