document.write( "Question 1164993: Anna preston has $2.80 in nickels and quarters. She has twice as many nickels as quarters. How many of each kind of coin does she have? \n" ); document.write( "
Algebra.Com's Answer #789439 by ikleyn(52781)\"\" \"About 
You can put this solution on YOUR website!
.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Mental solution\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\r\n" );
document.write( "Group the coins in sets in a way each set contains two nickels and one quarter.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "According to the condition, it is possible to do.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Then every set is worth 25+5+5 = 35 cents.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Having $2.80 = 280 cents, the number of such sets is  \"280%2F35\" = 8.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Hence, the original collection has 8 quarters and 2*8 = 16 nickels.    ANSWER\r\n" );
document.write( "
\r
\n" ); document.write( "\n" ); document.write( "Solved.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Algebra solution\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\r\n" );
document.write( "If n is the number of quarters, then the number of nickels is  (2n).\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "The total money equation is\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    25n + 5*(2n) = 280  cents,   or\r\n" );
document.write( "\r\n" );
document.write( "    25n + 10n = 280\r\n" );
document.write( "\r\n" );
document.write( "    35n = 280\r\n" );
document.write( "\r\n" );
document.write( "      n = \"280%2F35\" = 8.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "And you get the same answer.\r\n" );
document.write( "
\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "The algebra solution follows the same logic as the mental solution above.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "---------------\r
\n" ); document.write( "
\n" ); document.write( "\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( "    - Advanced 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
\n" ); document.write( "
\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
\n" ); document.write( "
\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
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Read them attentively and become an expert in this field.\r
\n" ); document.write( "
\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
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "The referred lessons are the part of this online textbook under the topic \"Coin problems\".\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Save the link to this online textbook together with its description\r
\n" ); document.write( "
\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
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "to your archive and use it when it is needed.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
\n" );