document.write( "Question 1070263: a vending machine that only takes dimes and quarters contains 40 coins, with a total value of $5.95. How many of each coins are there? \n" ); document.write( "
Algebra.Com's Answer #685374 by ikleyn(52781)\"\" \"About 
You can put this solution on YOUR website!
.
\n" ); document.write( "
\r\n" );
document.write( "Let Q be the number of quarters; Then the number of dimes is (40-Q).\r\n" );
document.write( "\r\n" );
document.write( "Dimes contribute 10*(40-Q) cents to the total.\r\n" );
document.write( "\r\n" );
document.write( "Quarters contribute 25Q cents.\r\n" );
document.write( "\r\n" );
document.write( "The equation for the total is\r\n" );
document.write( "\r\n" );
document.write( "10*(40-Q) + 25Q = 595 cents,   or\r\n" );
document.write( "\r\n" );
document.write( "400 - 10Q + 25Q = 595,   or\r\n" );
document.write( "\r\n" );
document.write( "15Q = 595-400 = 195,   which gives   Q =  \"195%2F15\" = 13.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Answer.  13 quarters and 40 - 13 = 27 dimes.\r\n" );
document.write( "\r\n" );
document.write( "Check.  27*10 + 13*25 = 595 cents.  Correct.\r\n" );
document.write( "
\r
\n" ); document.write( "\n" ); document.write( "There is entire bunch of lessons on coin problems\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( "    - 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
\n" ); document.write( "\n" ); document.write( "in this site.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Read them and become an expert in solution of coin problems.\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( "
\n" ); document.write( "
\n" );