document.write( "Question 192133: A coin bank contains dimes and quarters. The total value of the coins is $10.40. If the dimes were quarters and the quarters were dimes, the total value would be $9.20. How many dimes are there in the bank? \n" ); document.write( "

Algebra.Com's Answer #144178 by stanbon(75887) $\"\"$ $\"About$

You can put this solution on YOUR website!
A coin bank contains dimes and quarters. The total value of the coins is $10.40. If the dimes were quarters and the quarters were dimes, the total value would be $9.20. How many dimes are there in the bank?
\n" ); document.write( "----------------------------
\n" ); document.write( "Equations:
\n" ); document.write( "10d + 25q = 1040 cents
\n" ); document.write( "25d + 10q = 920 cents
\n" ); document.write( "------------------------
\n" ); document.write( "Modify:
\n" ); document.write( "10d + 25q = 1040
\n" ); document.write( "5d + 2q = 184
\n" ); document.write( "--------------------
\n" ); document.write( "Modify again:
\n" ); document.write( "10d + 35q = 1040
\n" ); document.write( "10d + 4q = 368
\n" ); document.write( "----------------------------
\n" ); document.write( "Subtract to get:
\n" ); document.write( "31q = 672
\n" ); document.write( "q = 21.67742...
\n" ); document.write( "-------------------
\n" ); document.write( "Comment: \"q\" should have a whole number value.
\n" ); document.write( "Check your problem statement again.
\n" ); document.write( "==========================================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "

\n" );