document.write( "Question 949379: Show your method used to solve problem.
\n" ); document.write( "If the cost of 5 roses, 9 irises and 6 carnations is the same as 3 carnations 6 irises and 8 roses find the cost of a single iris if it cost $42 for a dozen roses and a carnation is three-quarters the cost of an iris. \n" ); document.write( "

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\n" ); document.write( "Show your method used to solve problem.
\n" ); document.write( "If the cost of 5 roses, 9 irises and 6 carnations is the same as 3 carnations 6 irises and 8 roses find the cost of a single iris if it cost $42 for a dozen roses and a carnation is three-quarters the cost of an iris.
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document.write( "Let price of 1 rose, 1 iris and 1 carnation be R, I, and C, respectively
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document.write( "Then we can say that: 5R + 9I + 6C = 8R + 6I + 3C 
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document.write( "8R - 5R + 6I - 9I + 3C - 6C = 0
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document.write( "3R  - 3I - 3C = 0
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document.write( "3(R - I - C) = 3(0) ------ Factoring out GCF, 3
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document.write( "R - I - C = 0 ------- eq (i)\r
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document.write( "12R = 42
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document.write( "R, or cost of 1 rose = , or $3.50\r
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document.write( "_____ ------- Cost of 1 carnation is  cost of an iris \r
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document.write( "R - I - C = 0 -------- eq (i)
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document.write( "-------- Substituting 3.5 for R, and  for C in eq (i)
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document.write( " -------- Multiplying by LCD, 4
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document.write( "14 - 7I = 0
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document.write( "14 = 7I 
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document.write( "Cost of 1 iris = , or  \n" );
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