document.write( "Question 205004: I need help with this word problem. Can anyone help me? I do appreciate whatever you can do.\r
\n" );
document.write( "\n" );
document.write( "9. Sandy has $3.25 in change. She has five more dimes than quarters but twice as many nickels as dimes. Express the given information as an algebraic equation and simplify. [You are not required to solve the problem. \n" );
document.write( "
Algebra.Com's Answer #154796 by ankor@dixie-net.com(22740) You can put this solution on YOUR website! Sandy has $3.25 in change. \n" ); document.write( "She has five more dimes than quarters but twice as many nickels as dimes. \n" ); document.write( " Express the given information as an algebraic equation and simplify. \n" ); document.write( ": \n" ); document.write( "Let n = no. of nickels \n" ); document.write( "Let d = no. of dimes \n" ); document.write( "Let q = no. of quarters \n" ); document.write( "; \n" ); document.write( "Write an equation for each statement; \n" ); document.write( ": \n" ); document.write( "\"Sandy has $3.25 in change.\" \n" ); document.write( ".05n + .10d + .25q = 3.25 \n" ); document.write( ": \n" ); document.write( "\" She has five more dimes than quarters\" \n" ); document.write( "d = q + 5 \n" ); document.write( "or \n" ); document.write( "q = d - 5 \n" ); document.write( ": \n" ); document.write( "\" but twice as many nickels as dimes.\" \n" ); document.write( "n = 2d\r \n" ); document.write( "\n" ); document.write( ": \n" ); document.write( " Express the given information as an algebraic equation and simplify. \n" ); document.write( ": \n" ); document.write( "Using the 1st equation (total$) substitute: \n" ); document.write( " (d-5) for q \n" ); document.write( " 2d for n: \n" ); document.write( "and you have: \n" ); document.write( ".05(2d) + .10d + .25(d-5) = 3.25 \n" ); document.write( ": \n" ); document.write( ".10d + .10d + .25d - 1.25 = 3.25 \n" ); document.write( ": \n" ); document.write( ".45d = 3.25 + 1.25 \n" ); document.write( ": \n" ); document.write( ".45d = 4.50 \n" ); document.write( "d = \n" ); document.write( "d = 10 dimes \n" ); document.write( ": \n" ); document.write( "You can find the nickels and quarters easily from the equations \n" ); document.write( " |