document.write( "Question 251836: bayside insurance offers two health plans. under plan a giselle have to pay the first $100 of her medical bills, plus 40% of the rest. under plan b giselle would pay the first $250 but only 25% of the rest. for what amount of medical bills will plan b save gisele money? assume she has over $250 dollars in bills. \n" ); document.write( "
Algebra.Com's Answer #183642 by checkley77(12844)\"\" \"About 
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Plan a:
\n" ); document.write( "100+.40(x-100)
\n" ); document.write( "100+.40x-40
\n" ); document.write( ".40x+60
\n" ); document.write( "------------------
\n" ); document.write( "Plan b:
\n" ); document.write( "250+.25(x-250)
\n" ); document.write( "250+.25x-62.50
\n" ); document.write( ".25x+187.5
\n" ); document.write( "------------------
\n" ); document.write( ".25x+187.5<.40x+60
\n" ); document.write( ".25x-.40x<60-187.5
\n" ); document.write( "-.15x<-127.5
\n" ); document.write( "x>-127.5/-.15 [note: the > sign changes to a < sign when dividing by a negative value.
\n" ); document.write( "x>$850 any bill greater than $850, plan B will be the best buy.
\n" ); document.write( "Proof:
\n" ); document.write( "Let the bill be $900
\n" ); document.write( ".25*900+187.5<.40*900+60
\n" ); document.write( "225+187.5<360+60
\n" ); document.write( "412.5<420 \n" ); document.write( "
\n" );