document.write( "Question 1193738: Set up equations and solve.\r
\n" ); document.write( "\n" ); document.write( "You spent $125 on 90 snacks that include fruit and cookies. If fruit cost $2.50 each and cookies cost $1.25 each, how many of each did you buy? \r
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Algebra.Com's Answer #825773 by ikleyn(52810)\"\" \"About 
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\n" ); document.write( "Set up equations and solve.
\n" ); document.write( "You spent $125 on 90 snacks that include fruit and cookies.
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document.write( "Write equations as you read the problem\r\n" );
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document.write( "        F +     C =  90      (1)     (counting snacks)\r\n" );
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document.write( "    2.50F + 1.25C = 125      (2)     (counting money)\r\n" );
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document.write( "From equation (1), express  C = 90 - F   and substitute it into equation (2).  You will get\r\n" );
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document.write( "    2.50F + 1.25*(90-F) = 125.\r\n" );
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document.write( "Simplify and find F, the number of fruit snacks\r\n" );
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document.write( "    2.50F + 1.25*90 - 1.25F = 125\r\n" );
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document.write( "    2.50F - 1.25F = 125 - 1.25*90\r\n" );
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document.write( "        1.25F     =    12.5  \r\n" );
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document.write( "            F     =    12.5/1.25 = 10.\r\n" );
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document.write( "Thus you get the ANSWER:  there are 10 fruit snacks and 90-10 = 80 cookies snacks.\r\n" );
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document.write( "CHECK.  10*2.50 + 80*1.25 = 25 + 100 = 125 dollars,  total.   ! correct !\r\n" );
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\n" ); document.write( "\n" ); document.write( "In this post, I showed you how the Substitution method works.\r
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\n" ); document.write( "\n" ); document.write( "To learn more about solving systems of equations and associated word problem, see the lessons\r
\n" ); document.write( "\n" ); document.write( "    - Solution of the linear system of two equations in two unknowns by the Substitution method \r
\n" ); document.write( "\n" ); document.write( "    - Solution of the linear system of two equations in two unknowns by the Elimination method \r
\n" ); document.write( "\n" ); document.write( "    - Solution of the linear system of two equations in two unknowns using determinant \r
\n" ); document.write( "\n" ); document.write( "    - Geometric interpretation of the linear system of two equations in two unknowns \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( "    - 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 violets \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( "    - Typical word problems on systems of 2 equations in 2 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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\n" ); document.write( "\n" ); document.write( "to your archive and use it when it is needed.\r
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