document.write( "Question 823322: maria has a piggy bank at home full of nickels and dimes. she has $14.75 in the bank. there are 20 more dimes than nickels. how many of each type of coin are in the piggy bank? \n" ); document.write( "
Algebra.Com's Answer #495412 by algebrahouse.com(1659)![]() ![]() You can put this solution on YOUR website! x = number of nickels \n" ); document.write( "x + 20 = number of dimes {there are 20 more dimes than nickels}\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "0.05x + 0.1(x + 20) = 14.75 {value of coin multiplied by number of coins equals total value} \n" ); document.write( "0.05x + 0.1x + 2 = 14.75 {used distributive property} \n" ); document.write( "0.15x + 2 = 14.75 {combined like terms} \n" ); document.write( "0.15x = 12.75 {subtracted 2 from each side} \n" ); document.write( "x = 85 {divided each side by 0.15} \n" ); document.write( "x + 20 = 105 {substituted 85, in for x, into x + 20}\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "85 nickels and 35 dimes \n" ); document.write( " For more help from me, visit: www.algebrahouse.com \n" ); document.write( " |