document.write( "Question 1101094: Carol has some dimes and quarters if she has 25 coins worth a total of $3.70 how many of each type of coin does she have? \n" ); document.write( "
Algebra.Com's Answer #715663 by algebrahouse.com(1659)![]() ![]() You can put this solution on YOUR website! x = number of dimes \n" ); document.write( "25 - x = number of quarters {she has 25 coins total}\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "10x + 25(25 - x) = 370 {value of coin times number of coins equals total value} \n" ); document.write( "10x + 625 - 25x = 370 {used distributive property} \n" ); document.write( "-15x + 625 = 370 {combined like terms} \n" ); document.write( "-15x = -255 {subtracted 625 from each side} \n" ); document.write( "x = 17 {divided each side by -15} \n" ); document.write( "25 - x = 8 {substituted 17, in for x, into 25 - x}\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "17 dimes \n" ); document.write( "8 quarters \n" ); document.write( " For more help from me, visit: www.algebrahouse.com \n" ); document.write( " |