document.write( "Question 139008: three pieces of 25 cents and two pieces of a cent have a mass of 27 grams. two pieces of 25 cents pieces and six pieces of a cent have a mass of 32 grams. how is the mass of each pieces \n" ); document.write( "
Algebra.Com's Answer #101407 by solver91311(24713)\"\" \"About 
You can put this solution on YOUR website!
Let x be the mass of a quarter and y be the mass of a penny, so:\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"3x%2B2y=27\"
\n" ); document.write( "\"2x%2B6y=32\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Multiply the first equation by -3:
\n" ); document.write( "\"-9x-6y=-81\"
\n" ); document.write( "\"2x%2B6y=32\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Add the two equations term-by-term:
\n" ); document.write( "\"-7x%2B0y=-49\"
\n" ); document.write( "\"x=7\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "A quarter (25-cent piece) weighs 7 grams.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"3%287%29%2B2y=27\"
\n" ); document.write( "\"21%2B2y=27\"
\n" ); document.write( "\"2y=6\"
\n" ); document.write( "\"y=3\"\r
\n" ); document.write( "\n" ); document.write( "A penny (1-cent piece) weighs 3 grams.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Those answers were made up to make the arithmetic come out neatly. A pre-1965 silver quarter weighs 6.25 grams. The copper-nickel quarters minted after 1964 weigh only 5.67 grams. Pennies vary in weight from 2.4 to 3.2 grams.
\n" ); document.write( "
\n" );