document.write( "Question 930516: Harold has $4.35 of change in quarters and dimes, with 5 more dimes than quarters. how many of each coin does he have? \n" ); document.write( "
Algebra.Com's Answer #565059 by algebrahouse.com(1659)![]() ![]() You can put this solution on YOUR website! x = number of quarters \n" ); document.write( "x + 5 = number of dimes {there are 5 more dimes than quarters}\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "25x + 10(x + 5) = 435 {number of coins times value of coin equals total value} \n" ); document.write( "25x + 10x + 50 = 435 {used distributive property} \n" ); document.write( "35x + 50 = 435 {combined like terms} \n" ); document.write( "35x = 385 {subtracted 50 from each side} \n" ); document.write( "x = 11 {divided each side by 35} \n" ); document.write( "x + 5 = 16 {substituted 11, in for x, into x + 5}\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "11 quarters and 16 dimes \n" ); document.write( " For more help from me, visit: www.algebrahouse.com \n" ); document.write( " |