document.write( "Question 364533: how do i set up the problem :
\n" ); document.write( "Audrey has 32 dimes and quarters in her piggy bank with a total value of 6.50. How many of the coins are dimes and how many are quarters? \r
\n" ); document.write( "\n" ); document.write( "I need to write 2 equations and solve by addition method \n" ); document.write( "

Algebra.Com's Answer #259938 by ewatrrr(24785) $\"\"$ $\"About$

You can put this solution on YOUR website!


\n" );
document.write( "Hi, 
\n" );
document.write( "I need to write 2 equations and solve by addition method
\n" );
document.write( "in that case, let x = number of dimes and y = number of quarters
\n" );
document.write( "x   +   y = 32
\n" );
document.write( "10x + 25y = 650 cents
\n" );
document.write( "Multiplying both sides of the first equation by -25 to eliminate y
\n" );
document.write( "-25x -25y = 32*(-25)
\n" );
document.write( "10x + 25y = 650 cents
\n" );
document.write( "-15x = -150
\n" );
document.write( "x = 10, the enumber of dimes
\n" );
document.write( "the quarters would be 22 (32-10)\r
\n" );
document.write( "\n" );
document.write( "checking our answer
\n" );
document.write( "10*10 + 22*25 = 100 + 550 = 650cents Or $6.50 \n" );
document.write( "

\n" );