document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1190484>Question 1190484</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In a certain store, blue shirts are one-fifth the price of red shirts. If b blue shirts cost d dollars, what is the cost of r red shirts?<BR>\n" );
document.write( "a) 5dr<BR>\n" );
document.write( "b) 5brd<BR>\n" );
document.write( "c) (rd)/(5b)<BR>\n" );
document.write( "d) (5rd)/b<BR>\n" );
document.write( "e) (5br)/d<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 #822197 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=822197\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let x  the cost of 1 blue shirt.<BR>\n" );
document.write( "let y = the cost of 1 red shirt.\r<BR>\n" );
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document.write( "the price of b blue shirts is therefore equal to b * x.<BR>\n" );
document.write( "the price of r red shirts is therefore equal to r * y.\r<BR>\n" );
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document.write( "you are given that the price of 1 blue shirt is equal to 1/5 * the price of 1 red shirt.<BR>\n" );
document.write( "the equation for that is x = 1/5 * y<BR>\n" );
document.write( "multiply both sides of that equation by 5 to get:<BR>\n" );
document.write( "y = 5 * x<BR>\n" );
document.write( "this says that the price of 1 red red shirt is equal to 5 * the price of 1 blue shirt.<BR>\n" );
document.write( "the price of r red shirts is therefore equal to r * 5 * x\r<BR>\n" );
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document.write( "since the price of b blue shirts is equal to b * x which is equal to d, you get:<BR>\n" );
document.write( "b * x = d<BR>\n" );
document.write( "solve for x to get:<BR>\n" );
document.write( "x = d/b\r<BR>\n" );
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document.write( "the price of r red shirts, which is r * 5 * x, becomes r * 5 * d/b<BR>\n" );
document.write( "this is the same as 5rd/b which is selection d.<BR>\n" );
document.write( "that should be your answer.\r<BR>\n" );
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document.write( "i did an analysis to see if this is correct.<BR>\n" );
document.write( "my analysis is shown below:\r<BR>\n" );
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document.write( "let the cost of a blue shirt = 10<BR>\n" );
document.write( "let the cost of a red shirt = 5 * 10 = 50<BR>\n" );
document.write( "let the number of blue shirts = 8<BR>\n" );
document.write( "let the number of red shirts = 20\r<BR>\n" );
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document.write( "the cost of 8 blue shirts is 8 * 10 = 80<BR>\n" );
document.write( "the cost of 20 red shirts if 20 * 50 = 1000\r<BR>\n" );
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document.write( "the formula states that the cost of r red shirts = 5rd/b<BR>\n" );
document.write( "since r = 20 and d = 80 and b = 8, you get:<BR>\n" );
document.write( "the cost of r red shirts = 5 * 20 * 80 / 8 which is equal to 1000.<BR>\n" );
document.write( "this confirms the formula is correct.\r<BR>\n" );
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document.write( "answer is selection d which is equal to 5rd/b.\r<BR>\n" );
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document.write( "let me know if you have any quesions.\r<BR>\n" );
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document.write( "theo<BR>\n" );
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