document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=66923>Question 66923</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A cashier saves 1/5 of her gross monthly salary. This is $40 more than is saved by her friend that is a secretary whose salary is $200 greater. If the secretary save 1/7 of her salary. How much does each earn per month? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #47664 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=47664\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A cashier saves 1/5 of her gross monthly salary. This is $40 more than is saved by her friend that is a secretary whose salary is $200 greater. If the secretary save 1/7 of her salary. How much does each earn per month?<BR>\n" );
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document.write( "Let x = cashier's salary<BR>\n" );
document.write( "Secretary earns $200 more so we can say her salary = (x+200)<BR>\n" );
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document.write( "Write an expression for each given statement:<BR>\n" );
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document.write( "\"A cashier saves 1/5 of her gross monthly salary.\"<BR>\n" );
document.write( "(1/5)x<BR>\n" );
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document.write( "\"the secretary save 1/7 of her salary.\"<BR>\n" );
document.write( "(1/7)(x+200)<BR>\n" );
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document.write( "\"This is $40 more than is saved by her friend that is a secretary\"<BR>\n" );
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document.write( "Cashier's saving = Secretary's savings + $40<BR>\n" );
document.write( "(1/5)x = (1/7)(x+200) + 40<BR>\n" );
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document.write( "Multiply thru by 35 to get rid of the denominators, resulting in:<BR>\n" );
document.write( "7x = 5(x+200) + 35(40)<BR>\n" );
document.write( "7x = 5x + 1000 + 1400<BR>\n" );
document.write( "7x - 5x = 2400<BR>\n" );
document.write( "2x = 2400<BR>\n" );
document.write( "x = 2400/2<BR>\n" );
document.write( "x = $1200 is the cashier's salary, obviously $1400 is the secretary's salary<BR>\n" );
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document.write( "We can check this easily<BR>\n" );
document.write( "(1/5)1200 = 240<BR>\n" );
document.write( "(1/7)1400 = 200<BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "difference: 40 </SPAN>\n" );
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