document.write( "Question 1121179: roxanne has P4.65 in 5 cents and 25 cents. The number of 25 cents coins is 1 more than twice the number of nickels (5 cents). How many quarters (25 cents) she has? \n" ); document.write( "
Algebra.Com's Answer #736933 by ikleyn(52790)\"\" \"About 
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document.write( "From the condition, you have this system of equation\r\n" );
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document.write( "  x - 2y =   1        (1)      (counting coins)\r\n" );
document.write( "25x + 5y = 465        (2)      (counting cents).\r\n" );
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document.write( "where x = the number of quarters and y = the number of nickels.\r\n" );
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document.write( "From equation (1), express  x = 1 + 2y and then substitute it into equation (2), replacing x.\r\n" );
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document.write( "You will get a single equation for one unknown y:\r\n" );
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document.write( "25*(1+2y) + 5y = 465\r\n" );
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document.write( "Simplify and solve for y:\r\n" );
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document.write( "25 + 50y + 5y = 465\r\n" );
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document.write( "55y = 465 - 25 = 440\r\n" );
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document.write( "y = \"440%2F55\" = 8.\r\n" );
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document.write( "Then x = 1 + 2y = 1 + 2*8 = 17.\r\n" );
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document.write( "Answer.  8 nickels and 17 quarters.\r\n" );
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document.write( "Check.   8*5 + 17*25 = 465  cents.    ! Correct !\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved.     //   The method I used to solve the system is called the  \"Substitution method\".\r
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\n" ); document.write( "\n" ); document.write( "So,  on the way,  you learned how to solve the system of equations using the Substitution method.\r
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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( "    - Santa Claus helps solving coin problem\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( "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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