document.write( "Question 452157: bayside insurance offers two health plans. under plan a, giselle would have to pay the first $120 of her medical bills, plus 30% of the rest. under the 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 $ in bills.
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Algebra.Com's Answer #853372 by ikleyn(53750) $\"\"$ $\"About$

You can put this solution on YOUR website!
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\n" ); document.write( "bayside insurance offers two health plans.
\n" ); document.write( "under plan a, giselle would have to pay the first $120 of her medical bills, plus 30% of the rest.
\n" ); document.write( "under the plan b, giselle would pay the first $160 , but only 20% of the rest.
\n" ); document.write( "for what amount of medical bills will plan b save giselle money?
\n" ); document.write( "assume she has over $160 in bills giselle would save with plan b if she had more than $ in bills.
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\n" ); document.write( "\n" ); document.write( "        In the post by @mananth, his governing inequalities do not correspond to the problem,\r
\n" ); document.write( "\n" ); document.write( "        so they are INCORRECT, making the whole his solution incorrect.\r
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\n" ); document.write( "\n" ); document.write( "        I came to solve the problem in a right way, as it should be.\r
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document.write( "Plan A:  120 + 0.3(x - 120),  where x is the whole medical bill value.\r\n" );
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document.write( "Plan B:  160 + 0.2(x - 160),  where x is the whole medical bill value.\r\n" );
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document.write( "The question is to find at what value of 'x' will be  plan B < plan A.\r\n" );
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document.write( "So, we should solve this inequality\r\n" );
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document.write( "    160 + 0.2(x-160) < 120 + 0.3*(x-120).\r\n" );
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document.write( "Simplify step by step\r\n" );
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document.write( "    160 + 0.2x - 32 < 120 + 0.3x - 36\r\n" );
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document.write( "    160 - 32 - 120 + 36 < 0.3x - 0.2x\r\n" );
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document.write( "             44         <     0.1x\r\n" );
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document.write( "              x         >      44/0.1 = 440.\r\n" );
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document.write( "So, plan B is more cheap than plan B at x > 440.    ANSWER\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved correctly.\r
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