document.write( "Question 324768: A piggy bank contains $19.75 in quarters and dimes equaling a 100 coins in all. How many dimes are there? \n" ); document.write( "
Algebra.Com's Answer #232512 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! A piggy bank contains $19.75 in quarters and dimes equaling a 100 coins in all. \n" ); document.write( " How many dimes are there?\r \n" ); document.write( "\n" ); document.write( "Let x = no. of dimes \n" ); document.write( "then, since the total no. of coins is 100: \n" ); document.write( "(100-x) = no. of quarters \n" ); document.write( ": \n" ); document.write( ".10x + .25(100-x) = 19.75 \n" ); document.write( ": \n" ); document.write( ".10x + 25 - .25x = 19.75 \n" ); document.write( ": \n" ); document.write( ".10x - .25x = 19.75 - 25 \n" ); document.write( ": \n" ); document.write( "-.15x = -5.25 \n" ); document.write( "x = \n" ); document.write( "x = +35 dimes \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check solution, no. of quarters: 100-35 = 65 \n" ); document.write( ".10(35) + .25(65) = \n" ); document.write( "3.50 + 16.25 = 19.75 \n" ); document.write( " |