document.write( "Question 211024: Tom has 37 coins, consisting only of dimes and quarters, worth $7.45. How many dimes and how many quarters does he have? \n" ); document.write( "
Algebra.Com's Answer #159436 by checkley77(12844)![]() ![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "Question 211025 in Money_Word_Problems: \r \n" ); document.write( "\n" ); document.write( "Tom has 37 coins, consisting only of dimes and quarters, worth $7.45. How many dimes and how many quarters does he have? \r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "q+d=37 \n" ); document.write( "q=37-d \n" ); document.write( ".25q+.10d=7.45 \n" ); document.write( ".25(37-d)+.10d=7.45 \n" ); document.write( "9.25-.25d+.10d=7.45 \n" ); document.write( "-.15d=7.45-9.25 \n" ); document.write( "-.15d=-1.80 \n" ); document.write( "d=-1.80/.15 \n" ); document.write( "d=12 dimes. \n" ); document.write( "q=37-12 \n" ); document.write( "q=25 quarters. \n" ); document.write( "Proof: \n" ); document.write( ".25*25=.10*12=7.45 \n" ); document.write( "6.25+1.20=7.45 \n" ); document.write( "7.45=7.45 \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " |