document.write( "Question 218115: Eleanor claims: \"It is possible for 46 pennies and nickels to have a total value of a dollar.\" Is she right or wrong? Give a convincing argument to justify your answer. \n" ); document.write( "
Algebra.Com's Answer #164308 by RAY100(1637)![]() ![]() ![]() You can put this solution on YOUR website! Let x = # pennies,,,,,y=# nickels \n" ); document.write( ". \n" ); document.write( ".01x +.05y =1.00,,,,,but x+y=46,,,,or y=46-x,,,,,,subst \n" ); document.write( ". \n" ); document.write( ".01x +.05(46-x) = 1.00 \n" ); document.write( ". \n" ); document.write( ".01x +2.30 -.05x =1.00 \n" ); document.write( ". \n" ); document.write( "-.04x = -1.30 \n" ); document.write( ". \n" ); document.write( "x=32.5,,,,,,,,,,y=13.5 \n" ); document.write( ". \n" ); document.write( ". \n" ); document.write( "check,,,.01(32.5) +.05(13.5) = .325 +.675 =1.00,,,,,ok \n" ); document.write( ". \n" ); document.write( "since the money required to reach $1.00 is not in even numbers for the pennies or nickels,,,,it is NOT possible to make $1 even. \n" ); document.write( ". \n" ); document.write( " \n" ); document.write( " |