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)![]() ![]() 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 =\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( " |