document.write( "Question 890026: Michelle has a jar of quarters and dimes to totaling to 3.10 . If there are sixteen coins in total, how many more quarters are there than dimes. \n" ); document.write( "
Algebra.Com's Answer #538637 by algebrahouse.com(1659)![]() ![]() You can put this solution on YOUR website! x = number of quarters \n" ); document.write( "16 - x = number of dimes {there are 16 total coins}\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "25x + 10(16 - x) = 310 {value of coin multiplied by number of coins equals total value} \n" ); document.write( "25x + 160 - 10x = 310 {used distributive property} \n" ); document.write( "15x + 160 = 310 {combined like terms} \n" ); document.write( "15x = 150 {subtracted 160 from each side} \n" ); document.write( "x = 10 {divided each side by 15} \n" ); document.write( "16 - x = 6 {substituted 10, in for x, into 16 - x}\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "10 quarters and 6 dimes\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "4 more quarters than dimes \n" ); document.write( " For more help from me, visit: www.algebrahouse.com \n" ); document.write( " |