document.write( "Question 881670: A piggy bank contains a total of 44 dimes and quarters worth $7.55. Determine how many dimes and quarters were in the piggy bank. \n" ); document.write( "
Algebra.Com's Answer #532371 by algebrahouse.com(1659)![]() ![]() You can put this solution on YOUR website! x = number of quarters \n" ); document.write( "44 - x = number of dimes {there are 44 total coins}\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "25x + 10(44 - x) = 755 {value of coin multiplied by number of coins equals total value} \n" ); document.write( "25x + 440 - 10x = 755 {used distributive property} \n" ); document.write( "15x + 440 = 755 {combined like terms} \n" ); document.write( "15x = 315 {subtracted 440 from each side} \n" ); document.write( "x = 21 {divided each side by 15} \n" ); document.write( "44 - x = 23 {substituted 21, in for x, into 44 - x}\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "21 quarters \n" ); document.write( "23 dimes \n" ); document.write( " For more help from me, visit: www.algebrahouse.com \n" ); document.write( " \n" ); document.write( " |