document.write( "Question 624833: Joe has a collection of nickels and dimes that is worth $2.10. If the number of dimes was tripled and the number of nickels was increased by 24, the value of the coins would be $5.70. How many nickels and dimes does he have? \n" ); document.write( "
Algebra.Com's Answer #393091 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! Joe has a collection of nickels and dimes that is worth $2.10. If the number of dimes was tripled and the number of nickels was increased by 24, the value of the coins would be $5.70. How many nickels and dimes does he have? \n" ); document.write( "** \n" ); document.write( "let x=Number of nickels \n" ); document.write( "let y=Number of dimes \n" ); document.write( ".. \n" ); document.write( ".05x+.10y=2.10 \n" ); document.write( ".05(x+24)+3*.10=5.70 \n" ); document.write( ".. \n" ); document.write( ".05x+.10y=2.10 \n" ); document.write( ".05x+1.2+.30y=5.70 \n" ); document.write( ".. \n" ); document.write( ".05x+.10y=2.10 \n" ); document.write( ".05x+.30y=4.50 \n" ); document.write( "subtract \n" ); document.write( "-.2y=-2.4 \n" ); document.write( "y=12 \n" ); document.write( ".. \n" ); document.write( ".05x+.10y=2.10 \n" ); document.write( ".05x+1.2=2.1 \n" ); document.write( ".05x=2.1-1.2=.90 \n" ); document.write( "x=.90/.05 \n" ); document.write( "x=18 \n" ); document.write( "Number of nickels=18 \n" ); document.write( "Number of dimes=12 \n" ); document.write( " |