document.write( "Question 990564: David Bowers collects us gold coins. He has a collection of 47 coins. some are $10 coins, and the rest are $20 coins. If the face value of the coins is $690, how many of each denomination does he have? \n" ); document.write( "
Algebra.Com's Answer #610566 by macston(5194)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "x=number of $10 coins; y=number of $20 coins \n" ); document.write( ". \n" ); document.write( "x+y=47 \n" ); document.write( "x=47-y \n" ); document.write( ". \n" ); document.write( "$10x+$20y=$690 \n" ); document.write( "$10(47-y)+$20y=$690 \n" ); document.write( "$470-$10y+$20y=$690 \n" ); document.write( "$10y=$220 \n" ); document.write( "y=22 \n" ); document.write( "ANSWER 1: He has twenty two 420 coins. \n" ); document.write( ". \n" ); document.write( "x=47-y=47-22=25 \n" ); document.write( "ANSWER 2: He has twenty five $10 coins. \n" ); document.write( ". \n" ); document.write( "CHECK:\r \n" ); document.write( "\n" ); document.write( "$10x+$20y=$690 \n" ); document.write( "$10(25)+$20(22)=$690 \n" ); document.write( "$250+$440=$690 \n" ); document.write( "$690=$690\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |