document.write( "Question 404472: A jar contains quarters and nickels. There are 15 more nickels than quarters. The total value is $2.55. Find how many of each coin type there are. (4 steps) \n" ); document.write( "
Algebra.Com's Answer #285902 by ankor@dixie-net.com(22740) You can put this solution on YOUR website! let n = no. of nickels \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( "\" There are 15 more nickels than quarters.\" \n" ); document.write( "n = (q+15) \n" ); document.write( ": \n" ); document.write( "\"The total value is $2.55.\" \n" ); document.write( ".05n + .25q = 2.55 \n" ); document.write( "Replace n with (q+15) \n" ); document.write( ".05(q+15) + .25q = 2.55 \n" ); document.write( ".05q + .75 + .25q = 2.55 \n" ); document.write( ".05q + .25q = 2.55 - .75 \n" ); document.write( ".30q = 1.80 \n" ); document.write( "q = \n" ); document.write( "q = 6 quarters \n" ); document.write( "then \n" ); document.write( "n = 6 + 15 \n" ); document.write( "n = 21 nickels \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check this \n" ); document.write( ".05(21) + .25(6) = \n" ); document.write( "1.05 + 1.50 = 2.55\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |