document.write( "Question 934803: A collection of 120 coins worth of $5.52 consists of pennies, nickels, dimes and quarters. There are 8 more nickels than dimes and three times as many pennies as nickels. How many of each type of coin are there?\r
\n" );
document.write( "\n" );
document.write( "What I've tried:
\n" );
document.write( " x+y+z+w=120
\n" );
document.write( " 1x+5y+10z+25w=552
\n" );
document.write( "
\n" );
document.write( " y=z+8
\n" );
document.write( " x=3y
\n" );
document.write( "
\n" );
document.write( "3y+z+8+z+w=120 1(3y)+5(z+8)+10z+25w=552
\n" );
document.write( "3y+2z+w=112 3y+5z+40+10z+25w=552
\n" );
document.write( " 3y+5z+10z+25w=512
\n" );
document.write( " 3y+15z+25w=512
\n" );
document.write( "
\n" );
document.write( "
\n" );
document.write( "(-36y-24z-12w)=-1344
\n" );
document.write( "3y+15z+25w=512
\n" );
document.write( "(-33y-9z+13w)=-832 \n" );
document.write( "
Algebra.Com's Answer #567833 by TimothyLamb(4379)![]() ![]() You can put this solution on YOUR website! x = pennies \n" ); document.write( "y = nickels \n" ); document.write( "z = dimes \n" ); document.write( "u = quarters \n" ); document.write( "--- \n" ); document.write( "x + y + z + u = 120 \n" ); document.write( "1x + 5y + 10z + 25u = 552 \n" ); document.write( "y = z + 8 \n" ); document.write( "x = 3y \n" ); document.write( "--- \n" ); document.write( "put the system of linear equations into standard form \n" ); document.write( "--- \n" ); document.write( "x + y + z + u = 120 \n" ); document.write( "1x + 5y + 10z + 25u = 552 \n" ); document.write( "y - z = 8 \n" ); document.write( "x - 3y = 0 \n" ); document.write( "--- \n" ); document.write( "copy and paste the above standard form linear equations in to this solver: \n" ); document.write( "https://sooeet.com/math/system-of-linear-equations-solver.php \n" ); document.write( "--- \n" ); document.write( "solution: \n" ); document.write( "x = pennies = 72 \n" ); document.write( "y = nickels = 24 \n" ); document.write( "z = dimes = 16 \n" ); document.write( "u = quarters = 8 \n" ); document.write( "--- \n" ); document.write( "Free algebra tutoring live chat: \n" ); document.write( "https://sooeet.com/chat.php?gn=algebra \n" ); document.write( "--- \n" ); document.write( "Solve and graph linear equations: \n" ); document.write( "https://sooeet.com/math/linear-equation-solver.php \n" ); document.write( "--- \n" ); document.write( "Solve quadratic equations with quadratic formula: \n" ); document.write( "https://sooeet.com/math/quadratic-formula-solver.php \n" ); document.write( "--- \n" ); document.write( "Solve systems of linear equations up to 6-equations 6-variables: \n" ); document.write( "https://sooeet.com/math/system-of-linear-equations-solver.php \n" ); document.write( "--- \n" ); document.write( " |