document.write( "Question 1145593: You manage a clothing store and budget $6000 to restock 200 shirts. You can buy T-shirts for $12 each, polo shirts for $24 each, and rugby shirts for $36 each. If you want to have twice as many rugby shirts as polo shirts, how many of each type of shirt should you buy?
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Algebra.Com's Answer #766824 by ikleyn(52781) $\"\"$ $\"About$

You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( "            From the first glance, this problem is for 3 equations in three unknowns.\r
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\n" ); document.write( "\n" ); document.write( "            But actually, it can be easily solved using only ONE single equation in ONE unknown.\r
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\n" ); document.write( "\n" ); document.write( "            I will show you how to do it.\r
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document.write( "Let  x be the number of polo shirts.\r\n" );
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document.write( "Then the number of rugby shirts is 2x, according to the condition.\r\n" );
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document.write( "And the number of T-shirts is then (200-x-2x) = 200-3x.\r\n" );
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document.write( "The total cost equation is then\r\n" );
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document.write( "    24*x + 36*(2x) + 12*(200-3x) = 6000.\r\n" );
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document.write( "Simplify and solve for x :\r\n" );
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document.write( "    24x + 72x + 12*200 - 36x = 6000,\r\n" );
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document.write( "    60x                      = 6000 - 12*200\r\n" );
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document.write( "      x                      =  = 60.\r\n" );
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document.write( "ANSWER.  60 polo shirts;  60*2 = 120 rugby shirts and the rest, (200-60-2*60) = 20 are T-shirts.\r\n" );
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\n" ); document.write( "\n" ); document.write( "The benefit of this approach is that students may start solving such problems much earlier than they start learning systems of equations.\r
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\n" ); document.write( "\n" ); document.write( "I think that the true goal of this problem is to teach students to this approach.\r
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\n" ); document.write( "\n" ); document.write( "To see other similar solved problems, look into the lessons\r
\n" ); document.write( "\n" ); document.write( " - More complicated word problems to solve using a single linear equation \r
\n" ); document.write( "\n" ); document.write( " - Advanced word problems to solve using a single linear equation\r
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