document.write( "Question 1053041: a candy store owner wants to mix jelly beans costing $4 per pound with some cherry sours costing $3.50 per pound to obtain a 10-pound mixture costing $3.85 per pound. How many pounds of each type on candy should be used? \n" ); document.write( "

Algebra.Com's Answer #668337 by ikleyn(52781) $\"\"$ $\"About$

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\n" ); document.write( "a candy store owner wants to mix jelly beans costing $4 per pound with some cherry sours costing $3.50 per pound
\n" ); document.write( "to obtain a 10-pound mixture costing $3.85 per pound. How many pounds of each type on candy should be used?
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\n" ); document.write( "\n" ); document.write( "Solution 1. Two equations\r
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document.write( "Let x = the amount of the $4 jelly beans and y = the amount of the $3.50 cherry sours (in pounds) to mix.\r\n" );
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document.write( "Then you have two equations \r\n" );
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document.write( " x +     y = 10,\r\n" );
document.write( "4x + 3.50y = 3.85*10.\r\n" );
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document.write( "Simplify:\r\n" );
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document.write( " x +     y = 10,      (1)\r\n" );
document.write( "4x + 3.50y = 38.5.    (2)\r\n" );
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document.write( "Express x = 10-y from (1) and substitute it into (2). You will get\r\n" );
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document.write( "4(10-y) + 3.5y = 38.5.\r\n" );
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document.write( "Simplify and solve for y.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solution 2. One equations\r
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document.write( "Let x = the amount of the $4 jelly beans (in pounds).\r\n" );
document.write( "Then the amount of the $3.50 cherry sours (in pounds) is 10-x.\r\n" );
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document.write( "The equation is\r\n" );
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document.write( "4x + 3.50*(10-x) = 3.85*10.\r\n" );
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document.write( "Simplify and solve for x.\r\n" );
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\n" ); document.write( "\n" ); document.write( "There is entire bunch of the 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( "    - Typical word problems on mixtures from the archive\r
\n" ); document.write( "\n" ); document.write( "in this site.\r
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\n" ); document.write( "\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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