document.write( "Question 561019: Joe has a collection of nickels and dimes that is worth $7.05. If the number of dimes were doubled and the number of nickles were increased by 8, the value of the coins would be $12.35. How many dimes does he have?\r
\n" ); document.write( "\n" ); document.write( "a) 8 dimes b) 43 dimes c) 24 dimes d) 49 dimes\r
\n" ); document.write( "\n" ); document.write( "please show work!\r
\n" ); document.write( "\n" ); document.write( "THANK YOU!!!
\n" ); document.write( "

Algebra.Com's Answer #364128 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
Joe has a collection of nickels and dimes that is worth $7.05. If the number of dimes were doubled and the number of nickles were increased by 8, the value of the coins would be $12.35. How many dimes does he have?
\n" ); document.write( "---------------
\n" ); document.write( "Equations:
\n" ); document.write( "5n + 10d = 705 cents
\n" ); document.write( "5(n+8)+10(2d) = 1235 cents
\n" ); document.write( "-------------------------------
\n" ); document.write( "5n + 10d = 705
\n" ); document.write( "5n + 20d = 1235-40
\n" ); document.write( "------------------------
\n" ); document.write( "Subtract and solve for \"d\":
\n" ); document.write( "10d = 490
\n" ); document.write( "d = 49 (# of dimes)
\n" ); document.write( "----
\n" ); document.write( "Solve for \"n\":
\n" ); document.write( "5n + 10d = 705
\n" ); document.write( "5n + 490 = 705
\n" ); document.write( "5n = 215
\n" ); document.write( "n = 43 (# of nickels)
\n" ); document.write( "========================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "=====================\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "a) 8 dimes b) 43 dimes c) 24 dimes d) 49 dimes
\n" ); document.write( "
\n" ); document.write( "
\n" );