document.write( "Question 1192752: Molly has a jar with nickels, dimes and quarters in it. The ratio of the number of quarters to the number of dimes to the number of nickels in the jar is 9:3:1. The total value of all the coins in the Jar is $18.20. How many coins does molly have in her jar? \n" ); document.write( "
Algebra.Com's Answer #824644 by ikleyn(52802)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "Molly has a jar with nickels, dimes and quarters in it. \n" ); document.write( "The ratio of the number of quarters to the number of dimes to the number of nickels \n" ); document.write( "in the jar is 9:3:1. The total value of all the coins in the Jar is $18.20. \n" ); document.write( "How many coins does molly have in her jar? \n" ); document.write( "~~~~~~~~~~~~~~~~~\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( "There are x nickels, 3x dimes, and 9x quarters in the jar,\r\n" ); document.write( "where x is the common measure (now unknown value).\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( " 5x + (3x)*10 + (9x)*25 = 1820 cents.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Simplify and find x\r\n" ); document.write( "\r\n" ); document.write( " 5x + 30x + 225x = 1820\r\n" ); document.write( "\r\n" ); document.write( " 260x = 1820\r\n" ); document.write( "\r\n" ); document.write( " x = 1820/260 = 7.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "ANSWER. 7 nickels, 3*7 = 21 dimes and 63 quarters.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "CHECK. 7*5 + 21*10 + 63*25 = 1820 cents, in total. ! correct !\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "Solved.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "================\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Instead of writing equations, you could solve the problem mentally, using the grouping method.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |