document.write( "Question 1098125: The owner of a candy store wants to make a 50-pound mixture of two candies to sell for $4 per pound. If red licorice bits sell for $3.40 per pound and lemon gumdrops sell for $4.40 per pound, how many pounds of each should be used? \n" ); document.write( "

Algebra.Com's Answer #712533 by ikleyn(52781) $\"\"$ $\"About$

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\n" ); document.write( "The owner of a candy store wants to make a 50-pound mixture of two candies to sell for $4 per pound.
\n" ); document.write( "If red licorice bits sell for $3.40 per pound and lemon gumdrops sell for $4.40 per pound, how many pounds of each should be used?
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document.write( "Let x be the amount of the \"red licorice bits\" in pounds to be mixed.\r\n" );
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document.write( "Then the amount of the \"lemon gumdrops\" is (50-x) pounds.\r\n" );
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document.write( "The \"price\" equation is this\"\r\n" );
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document.write( " = 4  dollars.\r\n" );
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document.write( "To solve it, multiply both sides by 50. You will get\r\n" );
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document.write( "3.4*x + 4.4*(50-x) = 50*4  ====>  3.4x + 220 - 4.4x = 200  ====>  -1*x = 200 - 220  ====>  -x = -20  ====>  x = 20.\r\n" );
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document.write( "Answer.  20 pounds of the \"red licorice bits\" must be mixed with 50-20 = 30 pounds of \"lemon gumdrops\".\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved.\r
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\n" ); document.write( "There is entire bunch of lessons covering various types of mixture problems\r
\n" ); document.write( "\n" ); document.write( "    - Mixture problems\r
\n" ); document.write( "\n" ); document.write( "    - More Mixture problems\r
\n" ); document.write( "\n" ); document.write( "    - Solving typical word problems on mixtures for solutions \r
\n" ); document.write( "\n" ); document.write( "    - Word problems on mixtures for antifreeze solutions \r
\n" ); document.write( "\n" ); document.write( "    - Word problems on mixtures for dry substances like coffee beans, nuts, cashew and peanuts (*)\r
\n" ); document.write( "\n" ); document.write( "    - Word problems on mixtures for dry substances like candies, dried fruits (*)\r
\n" ); document.write( "\n" ); document.write( "    - Word problems on mixtures for dry substances like soil and sand\r
\n" ); document.write( "\n" ); document.write( "    - Word problems on mixtures for alloys \r
\n" ); document.write( "\n" ); document.write( "    - Typical word problems on mixtures from the archive\r
\n" ); document.write( "\n" ); document.write( "    - Advanced mixture problem for three alloys \r
\n" ); document.write( "\n" ); document.write( "    - OVERVIEW of lessons on word problems for mixtures\r
\n" ); document.write( "\n" ); document.write( "in this site.\r
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\n" ); document.write( "\n" ); document.write( "The closest by their themes are the lessons marked (*) in the list.
\n" ); document.write( "Read them and become an expert in solution the mixture word problems.\r
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\n" ); document.write( "\n" ); document.write( "Also, you have this free of charge online textbook in ALGEBRA-I in this site\r
\n" ); document.write( "\n" ); document.write( "    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.\r
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\n" ); document.write( "\n" ); document.write( "The referred lessons are the part of this online textbook under the topic \"Mixture problems\".\r
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\n" ); document.write( "\n" ); document.write( "Save the link to this online textbook together with its description\r
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\n" ); document.write( "\n" ); document.write( "Free of charge online textbook in ALGEBRA-I\r
\n" ); document.write( "\n" ); document.write( "https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson\r
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\n" ); document.write( "\n" ); document.write( "to your archive and use it when it is needed.\r
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