document.write( "Question 1201814: A florist spent $1558 purchasing 64 bundles of flowers to make spring bouquets. The order consisted of tulips, daisies, and peonies. The peonies cost $95 a bundle, the tulips were $23 a bundle adn the daisies were $12 a bundle. The florist purchased the fewest bundles of peonies, and twice as many daisies as tulips. \r
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Algebra.Com's Answer #836326 by ikleyn(52802) $\"\"$ $\"About$

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\n" ); document.write( "A florist spent $1558 purchasing 64 bundles of flowers to make spring bouquets.
\n" ); document.write( "The order consisted of tulips, daisies, and peonies.
\n" ); document.write( "The peonies cost $95 a bundle, the tulips were $23 a bundle and the daisies were $12 a bundle.
\n" ); document.write( "The florist purchased the fewest bundles of peonies, and twice as many daisies as tulips.
\n" ); document.write( "a. Write a system of equations to represent the information,
\n" ); document.write( "solve the system using elimination or substitution, and then determine
\n" ); document.write( "the number of bundles of each flower.
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\n" ); document.write( "\n" ); document.write( "        Problems like this one, admit reduction to one equation in one unknown,\r
\n" ); document.write( "\n" ); document.write( "        as I show you below. It is commonly accepted, educative and elegant method of solution.\r
\n" ); document.write( "\n" ); document.write( "        The method using three equations and three unknowns is non-educative and most stupide.\r
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document.write( "Let x be the number of bundles of tulips.\r\n" );
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document.write( "Then the number of bundles of daisies is 2x, according to the problem,\r\n" );
document.write( "and the number of bundles of peonies is the rest (64-x-2x) = (64-3x).\r\n" );
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document.write( "Write the total money equation\r\n" );
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document.write( "    23x + 12*(2x) + 95*(64-3x) = 1558  dollars.\r\n" );
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document.write( "Simplify and find x\r\n" );
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document.write( "    23x + 24x + 6080 - 195x = 1558\r\n" );
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document.write( "    23x + 24x - 285x = 1558 - 6080\r\n" );
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document.write( "         -238x       =    -4522\r\n" );
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document.write( "             x       =     = 19.\r\n" );
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document.write( "ANSWER.  19 bundles of tulips; 2*19 = 38 bundles of daises and 64-3*19 = 64-57 = 7 bundles of peonies.\r\n" );
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\n" ); document.write( "\n" ); document.write( "The part of the condition \"the fewest bundles of peonies\" is irrelevant to the problem - we do not use it in the solution.\r
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\n" ); document.write( "My advice to the composer of this problem is to remove these words from the problem.\r
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\n" ); document.write( "\n" ); document.write( "Also, another advise is to remove the words related to system of equations.\r
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\n" ); document.write( "\n" ); document.write( "Then the problem will look perfectly; otherwise, it looks like a lame horse.\r
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