document.write( "Question 1116362: A store is having a sale on chocolate chips and walnuts. For 5 pounds of chocolate chips and 3 pounds of walnuts, the total cost is $23. For 2 pounds of chocolate chips and 12 pounds of walnuts, the total cost is
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Algebra.Com's Answer #731250 by ikleyn(52864) $\"\"$ $\"About$

You can put this solution on YOUR website!
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document.write( "5c +  3w = 23    (1)\r\n" );
document.write( "2c + 12w = 47    (2)\r\n" );
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document.write( "Solve by Elimination. For it, multiply eq(1) by 4 (both sides). Keep eq(2) as is:\r\n" );
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document.write( "20c + 12w = 92   (1')\r\n" );
document.write( " 2c + 12w = 47   (2')\r\n" );
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document.write( "Subtract eq(2') from  eq(1'). The terms \"12w\" will cancel each other, leaving you single equation for only one unknown \"c\".\r\n" );
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document.write( "It is how the Elimination method works.\r\n" );
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document.write( "20c - 2c = 92 - 47 = 45  ====>  c =  = 2.50.\r\n" );
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document.write( "Now from eq(2)  2*2.50 + 12w = 47  ====>  12w = 47 - 2*2.50 = 42  ====>  w =  = 3.50.\r\n" );
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document.write( "Answer.  cost for each pound of chocolate chips is $2.50  and of each pound of walnuts $3.50. \r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved.\r
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\n" ); document.write( "\n" ); document.write( "On the way, you learned on how the Elimination method works.\r
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\n" ); document.write( "\n" ); document.write( "To see many other similar solved problems, look into the lessons\r
\n" ); document.write( "\n" ); document.write( "    - Oranges and grapefruits \r
\n" ); document.write( "\n" ); document.write( "    - Using systems of equations to solve problems on tickets \r
\n" ); document.write( "\n" ); document.write( "    - Three methods for solving standard (typical) problems on tickets\r
\n" ); document.write( "\n" ); document.write( "    - Using systems of equations to solve problems on shares \r
\n" ); document.write( "\n" ); document.write( "    - Using systems of equations to solve problems on investment\r
\n" ); document.write( "\n" ); document.write( "    - Two mechanics work on a car \r
\n" ); document.write( "\n" ); document.write( "    - The Robinson family and the Sanders family each used their sprinklers last summer\r
\n" ); document.write( "\n" ); document.write( "    - Roses and vilolets \r
\n" ); document.write( "\n" ); document.write( "    - Counting calories and grams of fat in combined food\r
\n" ); document.write( "\n" ); document.write( "    - A theater group made appearances in two cities\r
\n" ); document.write( "\n" ); document.write( "    - HOW TO algebreze and solve this problem on 2 equations in 2 unknowns \r
\n" ); document.write( "\n" ); document.write( "    - One unusual problem to solve using system of two equations \r
\n" ); document.write( "\n" ); document.write( "    - Solving mentally word problems on two equations in two unknowns \r
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\n" ); document.write( "\n" ); document.write( "    - OVERVIEW of lessons on solving systems of two linear equations in two unknowns\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 \"Systems of two linear equations in two unknowns\".\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
\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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