Question 441209
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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.



<pre>
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 > {{{72/0.05}}} = 1440.

    Plan B is cheaper at x > 1440 dollars.


<U>ANSWER</U>.  Plan B is cheaper if the bill is greater than $2310.
</pre>

Solved correctly.