document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1074735>Question 1074735</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1.Lisa sets aside $5250 for her car loan repayment each year. If this amount represents 7.5% of her salary, how much does she earn per year ?\r<BR>\n" );
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document.write( "2. Simplify 1 7/8: 3/4\r<BR>\n" );
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document.write( "The recipe to a particular cocktail includes guave juice, ginger beer, lime huice in the ratio of 9:4:2:1. Determine the amount of each ingredient in litres if the total about of litres is 16L. Rounded to one decimal place </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #689409 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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/cgi-bin/show-face.mpl?user=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=689409\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> she sets aside 5250 for her car loan repayment each year.<BR>\n" );
document.write( "this amounts to 7.5% of her salary.<BR>\n" );
document.write( "let x = her salary.<BR>\n" );
document.write( ".075 * x = 5250<BR>\n" );
document.write( "solve for x to get x = 5250 / .075 = 70,000.<BR>\n" );
document.write( "she earns $70,000 each car.<BR>\n" );
document.write( "she sets aside 7.5% of that for car loan repayment.<BR>\n" );
document.write( "this mean she sets aside .075 * 70,000 = 5250 for car loan repayment.<BR>\n" );
document.write( "this confirms the solution is correct.<BR>\n" );
document.write( "the solution is that she earns 70,000 each year.\r<BR>\n" );
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document.write( "1 7/8 = 1 + 7/8\r<BR>\n" );
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document.write( "(1 + 7/8) / (3/4) is the same as (1 + 7/8) * (4/3)<BR>\n" );
document.write( "(1 + 7/8) * (4/3) is the same as 1 * 4/3 + 7/8 * 4/3<BR>\n" );
document.write( "simplify this to get 4/3 + 28/24/<BR>\n" );
document.write( "put everything under a common denominator to get 32/24 + 28/24.<BR>\n" );
document.write( "simplify to get 60/24.<BR>\n" );
document.write( "60/24 is the same as 5/2.<BR>\n" );
document.write( "5/2 is the same as 2 and 1/2.\r<BR>\n" );
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document.write( "alternatively, you could have converted the mixed fraction into an improper fraction and solved that way.\r<BR>\n" );
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document.write( "1 + 7/8 is equal to 15/8.<BR>\n" );
document.write( "15/8 / (3/4) is equal to 15/8 * 4/3<BR>\n" );
document.write( "15/8 * 4/3 is equal to 60/24.<BR>\n" );
document.write( "60/24 is equal to 5/2 which is equal to 2 and 1/2 which is equal to 2.5.\r<BR>\n" );
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document.write( "alternatively, you could have converted everything to decimals and solved that way.\r<BR>\n" );
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document.write( "1 and 7/8 is equal to 1.875<BR>\n" );
document.write( "3/4 is equal to .75<BR>\n" );
document.write( "1.875 / .75 is equal to 2.5\r<BR>\n" );
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document.write( "your cocktail recipe includes guave, ginger, lime, and something else in the ratio of 9:4:2:1.\r<BR>\n" );
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document.write( "this means that, for every 9 parts of guave, you have 4 parts of ginver and 2 parts of lime and 1 part of something else.\r<BR>\n" );
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document.write( "the total of all the part is equal to 9 + 4 + 2 + 1 = 16 parts.\r<BR>\n" );
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document.write( "if you have 16 liters, then each part is equal to 16 / 16 = 1 liter.\r<BR>\n" );
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document.write( "you are therefore mixing together:\r<BR>\n" );
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document.write( "9 * 1 = 9 liters of guave.<BR>\n" );
document.write( "4 * 1 = 4 liters of ginger.<BR>\n" );
document.write( "2 * 1 = 2 liters of lime.<BR>\n" );
document.write( "1 * 1 = 1 liter of something else.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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