document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=214814>Question 214814</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Qadir, Raj, and Sabrina go together to a local video store. Qadir rents two movies and three games  for a total cost of $24.30. Raj rents three movies and one game for a total cost of $18.25. How much money does Sabrina need to rent one movie and two games? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #162286 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=162286\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Qadir, Raj, and Sabrina go together to a local video store. Qadir rents two movies and three games  for a total cost of $24.30. Raj rents three movies and one game for a total cost of $18.25. How much money does Sabrina need to rent one movie and two games?\r<BR>\n" );
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document.write( "Step 1.  Let x be cost of one movie.\r<BR>\n" );
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document.write( "Step 2.  Let y be the cost of one game.\r<BR>\n" );
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document.write( "Step 3.  2x+3y=24.30  where Qadir rents two movies and three games  for a total cost of $24.30.\r<BR>\n" );
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document.write( "Step 4.  3x+y=18.25   where Raj rents three movies and one game for a total cost of $18.25.\r<BR>\n" );
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document.write( "Step 5.  The following will solve the system of equations given 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++++2%5Cx+%2B+3%5Cy+=+24.3%2C%0D%0A++++3%5Cx+%2B+1%5Cy+=+18.25+%29%0D%0A++ ALIGN=MIDDLE  ALT=\"+system%28+%0D%0A++++2%5Cx+%2B+3%5Cy+=+24.3%2C%0D%0A++++3%5Cx+%2B+1%5Cy+=+18.25+%29%0D%0A++\"   DISABLED_style= \"max-width:90%; height:auto;\" >We'll use substitution. After moving 3*y to the right, we get:<BR>\n" );
document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2Ax+=+24.3+-+3%2Ay ALIGN=MIDDLE  ALT=\"2%2Ax+=+24.3+-+3%2Ay\"   DISABLED_style= \"max-width:90%; height:auto;\" >, or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+24.3%2F2+-+3%2Ay%2F2 ALIGN=MIDDLE  ALT=\"x+=+24.3%2F2+-+3%2Ay%2F2\"   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%2824.3%2F2+-+3%2Ay%2F2%29+%2B+1%5Cy+=+18.25 ALIGN=MIDDLE  ALT=\"3%2A%2824.3%2F2+-+3%2Ay%2F2%29+%2B+1%5Cy+=+18.25\"   DISABLED_style= \"max-width:90%; height:auto;\" > and simplify: So, we know that y=5.2. Since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+24.3%2F2+-+3%2Ay%2F2 ALIGN=MIDDLE  ALT=\"x+=+24.3%2F2+-+3%2Ay%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, x=4.35.<BR>\n" );
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document.write( "  Answer: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28+x=4.35%2C+y=5.2+%29 ALIGN=MIDDLE  ALT=\"system%28+x=4.35%2C+y=5.2+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
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document.write( "For Sabrina to rent one movie and two games, we have\r<BR>\n" );
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document.write( "x+2y=4.35 +2*5.2=14.75\r<BR>\n" );
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document.write( "Step 6.  ANSWER:  Sabrina needs $14.75 to rent one movie and two games.\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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