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Nadine has seven more nickels than Delano has dimes.
\n" ); document.write( " If Delano gives Nadine four of his dimes, then delano will have the same amount of money as Nadine.
\n" ); document.write( " How much money do they have together?
\n" ); document.write( ":
\n" ); document.write( "let n = no. of nickels
\n" ); document.write( "let d = no. of dimes
\n" ); document.write( ":
\n" ); document.write( "Write an equation for each statement
\n" ); document.write( ":
\n" ); document.write( "\" Nadine has seven more nickels than Delano has dimes.\"
\n" ); document.write( "n = d + 7
\n" ); document.write( ":
\n" ); document.write( "\"If Delano gives Nadine four of his dimes, then delano will have the same amount of money as Nadine.\"
\n" ); document.write( "4 dimes = .40
\n" ); document.write( ".10d - .40 = .05n + .40
\n" ); document.write( ".10d = .05n + .40 + .40
\n" ); document.write( ".10d = .05n + .80
\n" ); document.write( "Replace n with (d+7) from the 1st statement
\n" ); document.write( ".10d = .05(d+7) + .80
\n" ); document.write( ".10d = .05d + .35 + .80
\n" ); document.write( ".10d - .05d = 1.15
\n" ); document.write( ".05d = 1.15
\n" ); document.write( "d = 1.15/.05
\n" ); document.write( "d = 23 dimes originally
\n" ); document.write( "then
\n" ); document.write( "n = 23 + 7
\n" ); document.write( "n = 30 nickels
\n" ); document.write( ":
\n" ); document.write( "See if that checks out
\n" ); document.write( ".10(23) - .40 = .05(30) + .40
\n" ); document.write( "2.30 - .40 = 1.50 + .40
\n" ); document.write( "1.90 = 1.90
\n" ); document.write( ":
\n" ); document.write( " How much money do they have together?
\n" ); document.write( "23(.10) + 30(.05) =
\n" ); document.write( "2.30 + 1.50 = $3.80 \n" ); document.write( "