document.write( "Question 201865: Express the given information as an algebraic equation and simplify: Max has $3.25 in change. He has 5 more dimes than quarters but twice as many nicckles as dimes. \n" ); document.write( "
Algebra.Com's Answer #152108 by nerdybill(7384) You can put this solution on YOUR website! Express the given information as an algebraic equation and simplify: Max has $3.25 in change. He has 5 more dimes than quarters but twice as many nicckles as dimes. \n" ); document.write( ". \n" ); document.write( "Let x = number of quarters \n" ); document.write( "then \n" ); document.write( "x+5 = number of dimes \n" ); document.write( "2(x+5) = number of nickles \n" ); document.write( ". \n" ); document.write( ".25x + .10(x+5) + .05(2(x+5)) = 3.25 \n" ); document.write( ".25x + .10(x+5) + .05(2x+10) = 3.25 \n" ); document.write( ".25x + .10x+.50 + .10x+5 = 3.25 \n" ); document.write( ".45x + .50 + 5 = 3.25 \n" ); document.write( ".45x + .55 = 3.25 \n" ); document.write( ".45x = 2.70 \n" ); document.write( "x = 6 (number of quarters) \n" ); document.write( ". \n" ); document.write( "number of dimes: \n" ); document.write( "x+5 = 6+5 = 11 \n" ); document.write( ". \n" ); document.write( "number of nickles: \n" ); document.write( "2(x+5) = 2(6+5) = 2(11) = 22 \n" ); document.write( " \n" ); document.write( " |