document.write( "Question 620375: $2.77 in a coin jar- all pennies(x), nickels(y), and dimes(z). If there are 53 coins in all, and 4 more nickels than dimes, how many of each coin do you have. \n" ); document.write( "
Algebra.Com's Answer #390096 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! 2.77 in a coin jar- all pennies(x), nickels(y), and dimes(z). If there are 53 coins in all, and 4 more nickels than dimes, how many of each coin do you have. \n" ); document.write( "** \n" ); document.write( "x=number of pennies \n" ); document.write( "y=number of nickels \n" ); document.write( "z=number of dimes \n" ); document.write( ".. \n" ); document.write( "z+4=number of nickels \n" ); document.write( "z+(z+4)+x=53 \n" ); document.write( "2z+4+x=53 \n" ); document.write( "x=49-2z=number of pennies \n" ); document.write( ".. \n" ); document.write( "pennies+nickels+dimes=$2.77 \n" ); document.write( ".01x+.05y+.1z=2.77 \n" ); document.write( ".01(49-2z)+.05(z+4)+(.1z)=2.77 \n" ); document.write( ".49-.02z+.05z+.2+.1z=2.77 \n" ); document.write( ".13z+.69=2.77 \n" ); document.write( ".13z=2.77-.69 \n" ); document.write( ".13z=2.08 \n" ); document.write( "z=2.08/.13 \n" ); document.write( "z=16 \n" ); document.write( "z+4=20 \n" ); document.write( "49-2z=17 \n" ); document.write( ".. \n" ); document.write( "number of pennies=17 \n" ); document.write( "number of nickels=20 \n" ); document.write( "number of dimes=16 \n" ); document.write( " \n" ); document.write( " |