document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=39704>Question 39704</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Show a complete solution to each problem<BR>\n" );
document.write( "Adjusting antifreeze. Angela needs 20 quarts of 50% antifreeze solution in her radiator. She plans to obtain this by mixing some pure antifreeze with an appropiate amount of a 40% antifreeze solution. How many quarts of each should she use?\r<BR>\n" );
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document.write( "Solve each inequality. State the solution set in interval notation and sketch its graph.<BR>\n" );
document.write( "1/6 - 1/3t > 0\r<BR>\n" );
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document.write( "Solve each inequality. State the solution set in interval notation and sketch its graph<BR>\n" );
document.write( "-3/5 < 1/5 - 2/15w < -1/3\r<BR>\n" );
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document.write( "Solve each of the following problems by using an inequality.<BR>\n" );
document.write( "Car Selling. Ronald wants to sell his car through a broker who charges a commission of 10% of the selling proce. Ronald still owes $11,025 on the car. Ronald must get enough to at least pay off the loan. What is the range of the selling price? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #25131 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=25131\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Angela needs 20 quarts of 50% antifreeze solution in her radiator. She plans to obtain this by mixing some pure antifreeze with an appropiate amount of a 40% antifreeze solution. How many quarts of each should she use? \r<BR>\n" );
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document.write( "Let amount of 100% antifreeze be \"x\" quarts.<BR>\n" );
document.write( "Then amount of 40% antifreeze is \"20-x\" quarts.<BR>\n" );
document.write( "Antifreeze in the 100% part is 100%(x)=x quarts<BR>\n" );
document.write( "Antifreeze in the 40% part is 40%(20-x)=(8-0.4x) quarts<BR>\n" );
document.write( "EQUATION:<BR>\n" );
document.write( " antifreeze + antifreeze = 50%(20) quarts<BR>\n" );
document.write( "x+8-0.4x=10<BR>\n" );
document.write( "0.6x=2<BR>\n" );
document.write( "Multiply through by 10 to get:<BR>\n" );
document.write( "6x=20<BR>\n" );
document.write( "x=10/3 quarts (amounts of 100% antifreeze)<BR>\n" );
document.write( "20-x=50/3 quarts (amount of 40% antifreeze)\r<BR>\n" );
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document.write( "Solve each inequality. State the solution set in interval notation and sketch its graph.<BR>\n" );
document.write( "1/6 - 1/3t > 0 <BR>\n" );
document.write( "Multiply throu by 6 to get:<BR>\n" );
document.write( "1-2t>0<BR>\n" );
document.write( "Add 2t to both sides to ge:<BR>\n" );
document.write( "2t<1<BR>\n" );
document.write( "t<1/2<BR>\n" );
document.write( "Interval solution: (-infinity,(1/2) \r<BR>\n" );
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document.write( "Solve each inequality. State the solution set in interval notation and sketch its graph<BR>\n" );
document.write( "-3/5 < 1/5 - 2/15w < -1/3 <BR>\n" );
document.write( "Subtract (1/5) along the line to get:<BR>\n" );
document.write( "-4/5 < (-2/15)w <-(1/3+1/5)<BR>\n" );
document.write( "-4/5<-(2/15)w<-(8/15)<BR>\n" );
document.write( "Multiply thru be 15 to get;<BR>\n" );
document.write( "-12<-2w<-8<BR>\n" );
document.write( "Divide thru by -2 to get:<BR>\n" );
document.write( "4<w<6<BR>\n" );
document.write( "Interval solution (4,6)\r<BR>\n" );
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document.write( "Solve each of the following problems by using an inequality.<BR>\n" );
document.write( "Car Selling. Ronald wants to sell his car through a broker who charges a commission of 10% of the selling proce. Ronald still owes $11,025 on the car. Ronald must get enough to at least pay off the loan. What is the range of the selling price?\r<BR>\n" );
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document.write( "Let the selling price be \"x\"<BR>\n" );
document.write( "INEQUALITY:<BR>\n" );
document.write( "  sell price - 10%(sell price)>=11,025<BR>\n" );
document.write( "   x-0.1x>=11,025<BR>\n" );
document.write( "    0.9x>=11,025<BR>\n" );
document.write( "      x>=$12,250<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
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