document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=92041>Question 92041</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1)The price of a camera is increased by 40%. later, in a sale, the price is reduced by 20% of its new value. this final price is $50. what was the original price.\r<BR>\n" );
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document.write( "2)a)A man packed 180 apples in X cartons. write down an expression, in term of X for the number of apples in each carton.<BR>\n" );
document.write( "b) Another man packed 160 apples in x+5 cartons write down an expression in terms of X, for the number of apples in each carton.<BR>\n" );
document.write( "c) Given that the first man had 4 apples per carton more than the second man, form an equation in X and solve it to find how many apples the first man had in each carton.\r<BR>\n" );
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document.write( "Please help me answer these questions. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #67003 by </B><A HREF=/tutors/aboutme.mpl?userid=ptaylor><B>ptaylor(2198)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ptaylor><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=ptaylor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=67003\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (1)<BR>\n" );
document.write( "Let x=original price of camera<BR>\n" );
document.write( "If we increase this price by 40%, we would have a new price of (x+0.4x)<BR>\n" );
document.write( "If we reduce this new price by 20% we would have (x+0.4x)-((x+0.4x)(0.2)) and we are told that this equals $50.  So our equation to solve is:<BR>\n" );
document.write( "(x+0.4x)-(x+0.4x)(0.2)=50  get rid of parens\r<BR>\n" );
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document.write( "x+0.4x-0.2x-0.08x=50  collect like terms\r<BR>\n" );
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document.write( "1.12x=50  divide both sides by 1.28<BR>\n" );
document.write( "x=$44.64----------------------original price\r<BR>\n" );
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document.write( "CK\r<BR>\n" );
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document.write( "($44.64)*0.4=$17.86<BR>\n" );
document.write( "$17.86+$44.64=$62.50\r<BR>\n" );
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document.write( "$62.50*0.2=12.50\r<BR>\n" );
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document.write( "$62.50-$12.50=$50<BR>\n" );
document.write( "$50=$50\r<BR>\n" );
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document.write( "(2a)<BR>\n" );
document.write( "If there are 180 apples in X cartons then each carton contains 180/X apples<BR>\n" );
document.write( "CK:  (180/X)* Number of Cartons(X)=180<BR>\n" );
document.write( "180=180\r<BR>\n" );
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document.write( "(2b)<BR>\n" );
document.write( "If there are 160 apples in (X+5) cartons the each carton contains 160/(X+5) apples<BR>\n" );
document.write( "CK<BR>\n" );
document.write( "(160/(X+5))*(X+5)=160<BR>\n" );
document.write( "160=160\r<BR>\n" );
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document.write( "(2c)\r<BR>\n" );
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document.write( "Now we are being told here that \r<BR>\n" );
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document.write( "180/X=(160/(X+5))+4 Multiply each term by X(X+5) to get rid of fractions\r<BR>\n" );
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document.write( "180(X+5)=160X+4X(X+5)  get rid of parens\r<BR>\n" );
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document.write( "180X+900=160X+4X^2+20X  simplify\r<BR>\n" );
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document.write( "180X+900=180X+4X^2  subtract 180X from both sides\r<BR>\n" );
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document.write( "180X-180X+900=180X-180X+4X^2  collect like terms\r<BR>\n" );
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document.write( "4X^2=900 divide both sides by 4\r<BR>\n" );
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document.write( "X^2=225  take square root of both sides\r<BR>\n" );
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document.write( "X=+ or - 15  cartons  discount negative value\r<BR>\n" );
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document.write( "X=15 cartons\r<BR>\n" );
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document.write( "180/X=180/15=12------------ apples per carton for first man\r<BR>\n" );
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document.write( "Hope this helps---ptaylor\r<BR>\n" );
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document.write( " </SPAN>\n" );
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