document.write( "Question 1089682: Hello, \r
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document.write( "I need help with these two problems. I dont know how to set them up, If could set them up for me then I would be happy to solve them.\r
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document.write( "The Divine Chocolate store want to create a new truffle mix that consists of milk chocolate and hazelnut. If hazelnuts sell for $2 per pound and milk chocolate sells for $4 per pound, how many pounds of each should they mix together to create a 18-pound box that sells for $3 per pound? \r
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document.write( "A chemist wants to mix a 60% alcohol solution with 9 liters of a 66% alcohol solution to produce a solution that is 62% alcohol. How many liters of the 60% alcohol solution should be used?\r
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document.write( "Thank you so much! \n" );
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Algebra.Com's Answer #704002 by Theo(13342)![]() ![]() You can put this solution on YOUR website! The Divine Chocolate store want to create a new truffle mix that consists of milk chocolate and hazelnut. If hazelnuts sell for $2 per pound and milk chocolate sells for $4 per pound, how many pounds of each should they mix together to create a 18-pound box that sells for $3 per pound? \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "let x = number of pounds of hazelnut. \n" ); document.write( "let y = number of pounds of mixed chocolate.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you know that the total pounds has to be 18, so x + y = 18\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you know that the total money to be earned is 3 dollars a pound times 18 pounds = 54 dollars.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you know that hazelnuts cost 2 dollars a pound and mixed chocolates cost 4 dollars a pound.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "therefore 2x + 4y = 54\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the two equations that you have to solve simultaneously are:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2x + 4y = 54 \n" ); document.write( "x + y = 18\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "work it out and see what you get.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "don't forget to confirm if you answer is correct.\r \n" ); document.write( "\n" ); document.write( "----------------------------------------------------------------------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "A chemist wants to mix a 60% alcohol solution with 9 liters of a 66% alcohol solution to produce a solution that is 62% alcohol. How many liters of the 60% alcohol solution should be used? \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "let x = number of liters of 60% solution.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x + 9 is number of liters of total solution.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "your equation is:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( ".6 * x + .66 * 9 = .62 * (x + 9)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "work it out and see what you get.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "don't forget to confirm if you answer is correct.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "------------------------------------------------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "let me know if you have any problems getting the correct answer and / or if you have any further questions regarding these problems.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |