document.write( "Question 483205: Frankie has 22 coins in pocket worth a total of $4.75. If Frankie only has dimes and quarters in his pocket, how many of each does he have? \n" ); document.write( "
Algebra.Com's Answer #330719 by gabriel24(6)![]() ![]() You can put this solution on YOUR website! let x = no. of dimes (1 dime = 10 cents) \n" ); document.write( " y = no. of quarters (1 quarter = 25 cents)\r \n" ); document.write( "\n" ); document.write( "x + y = 22 coins \n" ); document.write( "x = 22 - y (eq. 1)\r \n" ); document.write( "\n" ); document.write( "0.1x + 0.25y = 4.75 (eq. 2)\r \n" ); document.write( "\n" ); document.write( "SUBSTITUTE eq. 1 to eq. 2 \n" ); document.write( "0.1(22 - y) + 0.25y = 4.75 \n" ); document.write( "2.2 - 0.1y + 0.25y = 4.75 \n" ); document.write( "-0.1y + 0.25y = 4.75 - 2.2 \n" ); document.write( "0.15y = 2.55 \n" ); document.write( "y = 17 total number of quarters\r \n" ); document.write( "\n" ); document.write( "x = 22 - y \n" ); document.write( "x = 22 - 17 \n" ); document.write( "x = 5 total number of dimes \n" ); document.write( " \n" ); document.write( " |