document.write( "Question 1155884: \"Solve each problem using a system of equations.\"
\n" ); document.write( "a) How could you make 98¢ using exactly 30 nickels and pennies?
\n" ); document.write( "b) Five pencils and four erasers cost 98¢. Two pencils and three erasers cost 49¢. How much is a pencil? \n" ); document.write( "

Algebra.Com's Answer #778571 by ikleyn(52803) $\"\"$ $\"About$

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document.write( "To solve the problem, you write this system of 2 equations in 2 unknown\r\n" );
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document.write( "     N + P = 30     (1)     (counting coins)\r\n" );
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document.write( "    5N + P = 98     (2)     (counting money)\r\n" );
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document.write( "Next you subtract equation (1) from equation (2)\r\n" );
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document.write( "    4N = 98 - 30 = 68.\r\n" );
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document.write( "Finally, you divide both sides of the last equation by 4\r\n" );
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document.write( "     N           = 68/4 = 17.\r\n" );
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document.write( "ANSWER.  17 nickels and the rest (30-17) = 13 pennies.\r\n" );
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document.write( "CHECK.  17*5 + 13 = 85 + 13 = 98.   ! Correct !\r\n" );
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\n" ); document.write( "\n" ); document.write( "For coin problems and their detailed solutions see the lessons in this site:\r
\n" ); document.write( "\n" ); document.write( "    - Coin problems\r
\n" ); document.write( "\n" ); document.write( "    - More Coin problems\r
\n" ); document.write( "\n" ); document.write( "    - Solving coin problems without using equations\r
\n" ); document.write( "\n" ); document.write( "    - Kevin and Randy Muise have a jar containing coins\r
\n" ); document.write( "\n" ); document.write( "    - Typical coin problems from the archive\r
\n" ); document.write( "\n" ); document.write( "    - Three methods for solving standard (typical) coin word problems\r
\n" ); document.write( "\n" ); document.write( "    - More complicated coin problems\r
\n" ); document.write( "\n" ); document.write( "    - Solving coin problems mentally by grouping without using equations\r
\n" ); document.write( "\n" ); document.write( "    - Non-typical coin problems \r
\n" ); document.write( "\n" ); document.write( "    - Santa Claus helps solving coin problem\r
\n" ); document.write( "\n" ); document.write( "    - OVERVIEW of lessons on coin word problems\r
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\n" ); document.write( "\n" ); document.write( "You will find there the lessons for all levels - from introductory to advanced,
\n" ); document.write( "and for all methods used - from one equation to two equations and even without equations. \r
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\n" ); document.write( "\n" ); document.write( "A convenient place to quickly observe these lessons from a \"bird flight height\" (a top view) is the last lesson in the list.\r
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\n" ); document.write( "\n" ); document.write( "Read them attentively and become an expert in this field.\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 \"Coin 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
\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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