document.write( "Question 1006993: A restaurant bill of $2.85 was paid using quarters and dimes only. If twice the number of quarters is 6 less than 4 times the number of dimes, how many quarters were used? \n" ); document.write( "
Algebra.Com's Answer #805347 by CubeyThePenguin(3113)![]() ![]() You can put this solution on YOUR website! d = number of dimes \n" ); document.write( "q = number of quarters\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "10d + 25q = 285 \n" ); document.write( "2q = 4d - 6\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Substitute q = 2d - 3 into the first equation.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "10d + 25(2d - 3) = 285 \n" ); document.write( "10d + 50d - 75 = 285 \n" ); document.write( "60d = 360 \n" ); document.write( "d = 6\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "6 dimes were used and 9 quarters were used. \n" ); document.write( " |