Question 439388
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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.



<pre>
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


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

Solved correctly.