document.write( "Question 23414: Systems:\r
\n" ); document.write( "\n" ); document.write( "The coin box of a vending machine contains half as many quarters as dimes. If the total value of the coins is $22.50, how many dimes are there?\r
\n" ); document.write( "\n" ); document.write( "i tried many times to do this using systems my main equatoins are .25q+.10d=22.50 and q=2d, but im stuck i dont know what to do next.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "thank you for your help :)
\n" ); document.write( "

Algebra.Com's Answer #12224 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
Let number of dimes be \"2x\"
\n" ); document.write( "Then number of quarters is \"x\"
\n" ); document.write( "Value of dimes is (10)2x=20x cents
\n" ); document.write( "Value of quarters is (25)x = 25x cents
\n" ); document.write( "EQUATION:
\n" ); document.write( " Value of dimes + Value of quarters = 2250 cents
\n" ); document.write( " 20x + 25x = 2250
\n" ); document.write( " 45x = 2250
\n" ); document.write( " x = 50 (number of quarters)
\n" ); document.write( " 2x = 100 (number of dimes)\r
\n" ); document.write( "\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );