document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=966644>Question 966644</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Jonastiza works for a local retailer and gets paid a standard hourly rate for the day shift and a higher hourly rate for the night shift. One week she worked 17 hours on the day shift and 8 hours on the night shift and earned $191. the following week, she earned $219 for working 12 day shift hours and 15 nigh tshift hours. what is her hourly rate for each shift? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #590887 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=590887\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> One week she worked 17 hours on the day shift and 8 hours on the night shift and earned $191.<BR>\n" );
document.write( " the following week, she earned $219 for working 12 day shift hours and 15 night shift hours.<BR>\n" );
document.write( " what is her hourly rate for each shift?<BR>\n" );
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document.write( "let d = day hourly wage<BR>\n" );
document.write( "let n = night \" \"<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Write an equation for each week<BR>\n" );
document.write( "17d + 8n = 191<BR>\n" );
document.write( "12d + 15n = 219<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Rearrange the 2nd equation to use as substitution in the first equation<BR>\n" );
document.write( "12d + 15n = 219<BR>\n" );
document.write( "Simplify, divide by 3<BR>\n" );
document.write( "4d + 5n = 73<BR>\n" );
document.write( "4d = -5n + 73<BR>\n" );
document.write( "d = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-5%2F4 ALIGN=MIDDLE  ALT=\"-5%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >n + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=73%2F4 ALIGN=MIDDLE  ALT=\"73%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "d = -1.25n + 18.25<BR>\n" );
document.write( ":<BR>\n" );
document.write( "17d + 8n = 191<BR>\n" );
document.write( "replace d with (-1.25n+18.25)<BR>\n" );
document.write( "17(-1.25n+18.25) + 8n = 191<BR>\n" );
document.write( "-21.25n + 310.25 + 8n = 191<BR>\n" );
document.write( "-21.25n + 8n = 191 - 310.25<BR>\n" );
document.write( "-13.25n = -119.25<BR>\n" );
document.write( "n = -119.25\-13.25<BR>\n" );
document.write( "n = $9.00 an hr at night<BR>\n" );
document.write( "then<BR>\n" );
document.write( "d = -1.25(9) + 18.25<BR>\n" );
document.write( "d = -11.25 + 18.25<BR>\n" );
document.write( "d = $7.00 an hr in the daytime<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "See if that checks out in the original 2nd equation<BR>\n" );
document.write( "12(7) + 15(9) = 219<BR>\n" );
document.write( "84 + 135 = 219 </SPAN>\n" );
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