document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=214816>Question 214816</A>: <I><SPAN STYLE=\"word-break: break-all;\"> For Halloween, Mr. Olowitz bought 8 bags of candy bars and 4 bags of lollipops for a total cost of  $51.56. Later that day he realized he didn’t have enough candy and went back to the same store and  bought 3 more bags of candy bars and 3 more bags of lollipops at the same prices for a total cost of  $23.82. While in the store on his second trip, Mr. Olowitz ran into his neighbor, Mrs. Pinion. If  Mrs. Pinion bought 3 bags of candy bars and 11 bags of lollipops at the same prices, what was her total cost?\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #162287 by </B><A HREF=/tutors/aboutme.mpl?userid=drj><B>drj(1380)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=drj><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=drj><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=162287\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> For Halloween, Mr. Olowitz bought 8 bags of candy bars and 4 bags of lollipops for a total cost of $51.56. Later that day he realized he didn’t have enough candy and went back to the same store and bought 3 more bags of candy bars and 3 more bags of lollipops at the same prices for a total cost of $23.82. While in the store on his second trip, Mr. Olowitz ran into his neighbor, Mrs. Pinion. If Mrs. Pinion bought 3 bags of candy bars and 11 bags of lollipops at the same prices, what was her total cost?\r<BR>\n" );
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document.write( "Step 1.  Let x be the cost for one bag of candy bars.\r<BR>\n" );
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document.write( "Step 2.  Let y be the cost for one bag of lollipops.\r<BR>\n" );
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document.write( "Step 3.  Let 8x+4y=51.56  be the cost of 8 bags of candy bars and 4 bags of lollipops for a total cost of $51.56.\r<BR>\n" );
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document.write( "Step 4.  Let 3x+3y=23.82  be the cost of 3 more bags of candy bars and 3 more bags of lollipops at the same prices for a total cost of $23.82.\r<BR>\n" );
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document.write( "Step 5.  The following will solve the system of equations in Steps 3 and 4 using substitution.\r<BR>\n" );
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document.write( " <TR><TD  ALIGN=MIDDLE>Solved by <A  rel=nofollow HREF=http://wiki.algebra.com/index.php/Tutoring_-_pluggable_solvers>pluggable</A> solver: <A  rel=nofollow HREF=linear_substitution.solver>SOLVE linear system by SUBSTITUTION</A></TD></TR>\n" );
document.write( "<TR><TD  ALIGN=LEFT>Solve:<BR>\n" );
document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+system%28+%0D%0A++++8%5Cx+%2B+4%5Cy+=+51.56%2C%0D%0A++++3%5Cx+%2B+3%5Cy+=+23.82+%29%0D%0A++ ALIGN=MIDDLE  ALT=\"+system%28+%0D%0A++++8%5Cx+%2B+4%5Cy+=+51.56%2C%0D%0A++++3%5Cx+%2B+3%5Cy+=+23.82+%29%0D%0A++\"   DISABLED_style= \"max-width:90%; height:auto;\" >We'll use substitution. After moving 4*y to the right, we get:<BR>\n" );
document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%2Ax+=+51.56+-+4%2Ay ALIGN=MIDDLE  ALT=\"8%2Ax+=+51.56+-+4%2Ay\"   DISABLED_style= \"max-width:90%; height:auto;\" >, or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+51.56%2F8+-+4%2Ay%2F8 ALIGN=MIDDLE  ALT=\"x+=+51.56%2F8+-+4%2Ay%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Substitute that<BR>\n" );
document.write( "  into another equation:<BR>\n" );
document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2A%2851.56%2F8+-+4%2Ay%2F8%29+%2B+3%5Cy+=+23.82 ALIGN=MIDDLE  ALT=\"3%2A%2851.56%2F8+-+4%2Ay%2F8%29+%2B+3%5Cy+=+23.82\"   DISABLED_style= \"max-width:90%; height:auto;\" > and simplify: So, we know that y=2.99. Since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+51.56%2F8+-+4%2Ay%2F8 ALIGN=MIDDLE  ALT=\"x+=+51.56%2F8+-+4%2Ay%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" >, x=4.95.<BR>\n" );
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document.write( "  Answer: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28+x=4.95%2C+y=2.99+%29 ALIGN=MIDDLE  ALT=\"system%28+x=4.95%2C+y=2.99+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
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document.write( "Step 6.  Given that x=4.95 and y=2.99  , and Mrs. Pinion bought 3 bags of candy bars and 11 bags of lollipops at the same prices. Then.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%2B11y=+3%2A4.95%2B11%2A2.99=47.74 ALIGN=MIDDLE  ALT=\"3x%2B11y=+3%2A4.95%2B11%2A2.99=47.74\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Step 7.  ANSWER:  The total cost for Mrs. Pinion is $47.74.\r<BR>\n" );
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document.write( "I hope the above steps were helpful.\r<BR>\n" );
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document.write( "For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.\r<BR>\n" );
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document.write( "Good luck in your studies!\r<BR>\n" );
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document.write( "Respectfully,<BR>\n" );
document.write( "Dr J </SPAN>\n" );
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