document.write( "Question 1017064: The total value of the quarters and dimes in a coin bank is $6.95. If the quarters were dimes and the dimes were quarters, the total value of the coins would be $7.40. Find the number of quarters in the bank. \n" ); document.write( "

Algebra.Com's Answer #633397 by ikleyn(53765) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "The total value of the quarters and dimes in a coin bank is $6.95. If the quarters were dimes and the dimes were quarters, the total value of the coins would be $7.40. Find the number of quarters in the bank.
\n" ); document.write( "-------------------------------------------------------------\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "

\r\n" );
document.write( "10d + 25q = 695,     (1)\r\n" );
document.write( "25d + 10q = 740.     (2)\r\n" );
document.write( "\r\n" );
document.write( "Multiply (1) by 5 and multiply (2) by (-2), then add. You will get\r\n" );
document.write( "\r\n" );
document.write( "125q - 20q = 5*695 - 2*740,    or\r\n" );
document.write( "\r\n" );
document.write( "105q = 1995.\r\n" );
document.write( "\r\n" );
document.write( "Hence, q =  = 19 quarters.\r\n" );
document.write( "\r\n" );
document.write( "Please complete the solution yourself.\r\n" );
document.write( "

\n" ); document.write( " \n" ); document.write( "

\n" );