document.write( "Question 1200792: Mrs. Decesare ordered a total of 500 blue, yellow and white flowers for senior breakfast. The white carnations cost 50 cents each. The blue carnations had to be hand-dyed, so they cost $1.50 each. Yellow daises were only $1 a piece. The total cost of the order was $475. The number of yellow daises ordered was equal to the total number of carnations. How many of each color flower were ordered? \n" ); document.write( "

Algebra.Com's Answer #835008 by ikleyn(52879) $\"\"$ $\"About$

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\n" ); document.write( "Mrs. Decesare ordered a total of 500 blue, yellow and white flowers for senior breakfast.
\n" ); document.write( "The white carnations cost 50 cents each. The blue carnations had to be hand-dyed,
\n" ); document.write( "so they cost $1.50 each. Yellow daises were only $1 a piece.
\n" ); document.write( "The total cost of the order was $475.
\n" ); document.write( "The number of yellow daises ordered was equal to the total number of carnations.
\n" ); document.write( "How many of each color flower were ordered?
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\n" ); document.write( "\n" ); document.write( " It can be solved using one single unknown and one single equation.\r
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document.write( "Let x be the number of white carnations.\r\n" );
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document.write( "From the problem, it is clear that the number of yellow daises is half of 500 flowers,\r\n" );
document.write( "i.e. exactly 250 items, precisely as the total number of white and blue carnations.\r\n" );
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document.write( "So, the number of blue carnations is (250-x), and we can write the total money equation in the form\r\n" );
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document.write( "    0.5x + 1.5*(250-x) + 1*250 = 475.\r\n" );
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document.write( "Simplify and find x\r\n" );
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document.write( "    0.5x + 1.5*250 - 1.5x = 475 - 250\r\n" );
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document.write( "            -x            = 475 - 250 - 1.5*250\r\n" );
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document.write( "            -x            =      -150\r\n" );
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document.write( "             x            =       150.\r\n" );
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document.write( "ANSWER.  150 white carnations;  250-150 = 100 blue carnations and 250 Yellow daises.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved.\r
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\n" ); document.write( "\n" ); document.write( "So, this problem does not requires knowledge on solving systems of linear equations, at all.\r
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