document.write( "Question 177857: Sandy has 3.25 in change. She has five more dimes than quarters but twice as many nickels as dimes. Eecpress th given information as an algebraic exprssion and simplify. \n" ); document.write( "
Algebra.Com's Answer #132834 by Mathtut(3670)![]() ![]() ![]() You can put this solution on YOUR website! let n,d,and q represent the number of nickels,dimes,and quarters,respectively \n" ); document.write( ": \n" ); document.write( "d=5q..................eq 1 \n" ); document.write( "n=2d..................eq 2 \n" ); document.write( ".05n+.1d+.25q=3.25....eq 3 \n" ); document.write( ": \n" ); document.write( "re write eq 1 to q=d/5 and take that value and the value of n in eq 2 and plug them into eq 3 \n" ); document.write( ": \n" ); document.write( ".05(2d)+.1d+.25(d/5)=3.25 \n" ); document.write( ": \n" ); document.write( ".1d+.1d+.25(d/5)=3.25 \n" ); document.write( ": \n" ); document.write( ".2d+.25(d/5)=3.25 \n" ); document.write( ": \n" ); document.write( "d+.25d=16.25...multiplied all terms by 5 to get rid of fractional terms \n" ); document.write( ": \n" ); document.write( "1.25d=16.25 \n" ); document.write( ": \n" ); document.write( "d=13 \n" ); document.write( ": \n" ); document.write( "so now you can find out the values of n and q. \n" ); document.write( " |