document.write( "Question 1171212: Using the system you selected above, solve the system of equations.
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\n" ); document.write( "Jesse and Adam are both selling items to raise money for Baseball uniforms. They are each selling
\n" ); document.write( "two items: chocolate bars and candles. Jesse sells 12 chocolate bars and 7 candles and makes a
\n" ); document.write( "total of $94. Adam sells 24 chocolate bars and 5 candles and makes a total of $98. How much does
\n" ); document.write( "one chocolate bar and one candle cost?
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Algebra.Com's Answer #796130 by ikleyn(52787)\"\" \"About 
You can put this solution on YOUR website!
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\n" ); document.write( "Jesse and Adam are both selling items to raise money for Baseball uniforms. They are each selling
\n" ); document.write( "two items: chocolate bars and candles. Jesse sells 12 chocolate bars and 7 candles and makes a
\n" ); document.write( "total of $94. Adam sells 24 chocolate bars and 5 candles and makes a total of $98. How much does
\n" ); document.write( "one chocolate bar and one candle cost?
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document.write( "    12H + 7C = 94       (1)   (H stands for chocolate bars;  C stands for candles)\r\n" );
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document.write( "    24H + 5C = 98       (2)\r\n" );
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document.write( "Multiply equation (1) by 2 (both sides).  Keep equation (2) as is.  You will get\r\n" );
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document.write( "    24H + 14C = 188     (1') \r\n" );
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document.write( "    24H +  5C =  98     (2')\r\n" );
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document.write( "Now subtract equation (2') from equation (1').  \r\n" );
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document.write( "The terms \"24H\" will cancel each other, and you will get a single equation in one unknown C\r\n" );
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document.write( "          14C - 5C = 188 - 98\r\n" );
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document.write( "             9C    =  90\r\n" );
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document.write( "              C    =  90/9 = 10.\r\n" );
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document.write( "Thus the cost of each candle is $10.\r\n" );
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document.write( "To find another unknown, H, substitute the found valu C into equation (1).  You will get\r\n" );
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document.write( "    12*H + 7*10 = 94\r\n" );
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document.write( "    12H         = 94 - 70 = 24\r\n" );
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document.write( "      H                   = 24/12 = 2.\r\n" );
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document.write( "ANSWER.  $2 per chocolate bar and $10 for each candle.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved.\r
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\n" ); document.write( "\n" ); document.write( "From my solution, learn on how the ELIMINATION method works.\r
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\n" ); document.write( "\n" ); document.write( "I remember that in my previous post I showed you, how to solve this problem MENTALLY.\r
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\n" ); document.write( "\n" ); document.write( "So, now you know TWO methods, which is good (!)\r
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\n" ); document.write( "\n" ); document.write( "On solving systems of linear equations in two unknowns see the lessons\r
\n" ); document.write( "\n" ); document.write( "    - Solution of a linear system of two equations in two unknowns by the Substitution method \r
\n" ); document.write( "\n" ); document.write( "    - Solution of a linear system of two equations in two unknowns by the Elimination method \r
\n" ); document.write( "\n" ); document.write( "    - Solution of a linear system of two equations in two unknowns using determinant \r
\n" ); document.write( "\n" ); document.write( "    - Geometric interpretation of a linear system of two equations in two unknowns \r
\n" ); document.write( "\n" ); document.write( "    - Useful tricks when solving systems of 2 equations in 2 unknowns by the Substitution method \r
\n" ); document.write( "\n" ); document.write( "    - Solving word problems using linear systems of two equations in two unknowns \r
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\n" ); document.write( "\n" ); document.write( "    - Word problems that lead to a simple system of two equations in two unknowns \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
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\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
\n" ); document.write( "\n" ); document.write( "in this site.\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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