document.write( "Question 316769: Could someone help me with this problem? I am confused?\r
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\n" ); document.write( "\n" ); document.write( "Bayside Insurance offers two health plans. Under Plan A, Sam would have to pay the first $80 of his medical bills, plus 35% of the rest. Under Plan B, Sam would pay the first $230, but only 20% of the rest. For what amount of medical bills will Plan B save Sam money? Assume he was over $230 in bills. Sam would save with Plan B if he had more than $_____ in bills.
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Algebra.Com's Answer #226859 by Fombitz(32388)\"\" \"About 
You can put this solution on YOUR website!
Let x be the amount of medical bills, y be the amount Sam pays.
\n" ); document.write( "A:\"y=80%2B0.35%28x-80%29\"
\n" ); document.write( "B:\"y=230%2B0.20%28x-230%29\"
\n" ); document.write( "To find the crossover point, set the two equal to each other and solve for x.
\n" ); document.write( "\"80%2B0.35%28x-80%29=230%2B0.20%28x-230%29\"
\n" ); document.write( "Multiply both sides by 100,
\n" ); document.write( "\"8000%2B35%28x-80%29=23000%2B20%28x-230%29\"
\n" ); document.write( "\"8000%2B35x-2800=23000%2B20x-4600\"
\n" ); document.write( "\"35x%2B5200=20x%2B18400\"
\n" ); document.write( "\"15x=13200\"
\n" ); document.write( "\"highlight%28x=880%29\"
\n" ); document.write( "Once you reach $880 in medical costs, Plan B equals Plan A for Sam.
\n" ); document.write( "Before $880, Plan A is less expensive to Sam.
\n" ); document.write( "After $880, Plan B is less expensive to Sam.
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