document.write( "Question 614212: Joe has a collection of nickels and dimes that is worth $6.20. If the number of dimes was doubled and the number of nickels was decreased by 7, the value of the coins would be $10.35. How many nickels and dimes does he have? \n" ); document.write( "
Algebra.Com's Answer #386452 by lwsshak3(11628) ![]() You can put this solution on YOUR website! Joe has a collection of nickels and dimes that is worth $6.20. If the number of dimes was doubled and the number of nickels was decreased by 7, the value of the coins would be $10.35. How many nickels and dimes does he have? \n" ); document.write( "** \n" ); document.write( "let x= number of dimes \n" ); document.write( "let y=number of nickels \n" ); document.write( "=== \n" ); document.write( ".10x+.05y=6.20 \n" ); document.write( ".10(2x)+.05(y-7)=10.35 \n" ); document.write( "=== \n" ); document.write( ".10x+.05y=6.20 \n" ); document.write( ".20x+.05y-.35=10.35 \n" ); document.write( "=== \n" ); document.write( "10x+5y=620 \n" ); document.write( "20x+5y=1070 \n" ); document.write( "subtract \n" ); document.write( "10x=450 \n" ); document.write( "x=45 \n" ); document.write( "5y=620-10x=620-450=170 \n" ); document.write( "y=170/5=34 \n" ); document.write( "ans: \n" ); document.write( "number of dimes=45 \n" ); document.write( "number of nickels=34 \n" ); document.write( " \n" ); document.write( " |