document.write( "Question 1112071: Fifteen pounds of trail mix are made by mixing 3 pounds of raisins worth $6 per pound with peanuts worth $3 per pound and chocolate coated candles worth $4 per pound how many pounds of peanuts must be used if the mixture is to be worth $4.20 per pound \n" ); document.write( "

Algebra.Com's Answer #727109 by ikleyn(52787) $\"\"$ $\"About$

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\n" ); document.write( "Fifteen pounds of trail mix are made by mixing 3 pounds of raisins worth $6 per pound with peanuts worth $3 per pound
\n" ); document.write( "and chocolate coated $\"highlight%28cross%28candles%29%29\"$ candies worth $4 per pound how many pounds of peanuts must be used if the mixture is to be worth $4.20 per pound
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\n" ); document.write( "\n" ); document.write( " ? ? ? Candles ? ? ? Do you mean \"candies\" ? ? ?
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\n" ); document.write( "\n" ); document.write( "The way to solve this problem is to write AN EQUATION saying that the cost of ingredients is equal to the cost of the product.\r
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document.write( "Let x = the amount of peanuts to be used (in pounds), which is under the question.\r\n" );
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document.write( "Since the amount of raisin is just given (3 pounds), then the amount of the candies must be (15-3-x) = (12-x) pounds.\r\n" );
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document.write( "The cost of the ingredients is  6*3 dollars  for 3 pounds of raisin \r\n" );
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document.write( "                                3*x dollars for x pounds of peanuts, and\r\n" );
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document.write( "                                4*(12-x) dollars for candiess.\r\n" );
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document.write( "So the input costs 6*3 + 3x + 4*(12-x) dollars.\r\n" );
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document.write( "The product must cost 4.20*15 dollars.\r\n" );
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document.write( "So,  \"money\" equation is\r\n" );
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document.write( "6*3 + 3x + 4*(12-x) = 4.20*15\r\n" );
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document.write( "Simplify and solve for x step by step \r\n" );
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document.write( "18 + 3x + 48 - 4x = 63\r\n" );
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document.write( "-x = 63 - 18 - 48 = -3  ====>  x = 3.\r\n" );
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document.write( "Answer.  3 pounds of peanuts must be mixed.\r\n" );
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\n" ); document.write( "\n" ); document.write( "P.S. Although English is my second language, I am still able to make a distinguish between \"candles\" and \"candies\".\r
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