document.write( "Question 527199: Mike said \" guess how many coins and dollar bills I have in my pocket. Their value is $13.40, and I have three times as many quarters as dimes. How many of each coin do I have?\" \n" ); document.write( "
Algebra.Com's Answer #348855 by MathTherapy(10555)![]() ![]() You can put this solution on YOUR website! Mike said \" guess how many coins and dollar bills I have in my pocket. Their value is $13.40, and I have three times as many quarters as dimes. How many of each coin do I have?\"\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Let amount of dimes be C, and amount of dollar bills, D \n" ); document.write( "Then amount of quarters = 3C\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Since we have $0.40, there MUST be at least 4 dimes, because a quarter and dimes DO NOT MAKE $0.40\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Trying 4 dimes, we have:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( ".1C + .25(3C) + D = 13.4\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( ".1C + .75C + D = 13.4\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( ".1(4) + .75(4) + D = 13.4\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( ".4 + 3 + D = 13.4\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "D, or amount of dollar bills = 13.4 - .4 – 3, or 10\r \n" ); document.write( "\n" ); document.write( "This means that there are: \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "------- \n" ); document.write( "Check \n" ); document.write( "-------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "$0.40 + $3.00 + $10.00 = $13.40\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Send comments and “thank-yous” to “D” at MathMadEzy@aol.com \n" ); document.write( " |