document.write( "Question 400460: A piggy bank contains 48 nickels and dime whose total is $4.50 how many coins are nickels?? \n" ); document.write( "
Algebra.Com's Answer #283475 by unlockmath(1688) You can put this solution on YOUR website! Hello, \n" ); document.write( "We can set up 2 equations (Let x be nickels and y be dimes) \n" ); document.write( "x+y=48 \n" ); document.write( ".05x+.10y=$4.50 \n" ); document.write( "Let's do substitution and change the first equation as: \n" ); document.write( "x=48-y \n" ); document.write( "Now plug it in the second equation: \n" ); document.write( ".05(48-y)+.10y=$4.50 \n" ); document.write( "Multiply this by 100 to remove the decimals: \n" ); document.write( "5(48-y)+10y=450 \n" ); document.write( "rewrite this as: \n" ); document.write( "240-5y+10y=450 \n" ); document.write( "Combine like terms, subtract 240: \n" ); document.write( "5y=210 \n" ); document.write( "Divide by 5: \n" ); document.write( "y=42 Dimes \n" ); document.write( "we know there will be 6 nickels. \n" ); document.write( "Make sense? \n" ); document.write( "RJ \n" ); document.write( "www.math-unlock.com \n" ); document.write( " |