document.write( "Question 163623: Nadine has seven more nickels than Delano has dimes. If Delano gives Nadine four of his dimes, then Delano will have the same amount of money as Nadine. How much money do they have together? (Assume that Nadine has only nickels and Delano has only dimes. \n" ); document.write( "
Algebra.Com's Answer #120542 by ankor@dixie-net.com(22740)\"\" \"About 
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Nadine has seven more nickels than Delano has dimes. If Delano gives Nadine four of his dimes, then Delano will have the same amount of money as Nadine. How much money do they have together? (Assume that Nadine has only nickels and Delano has only dimes.
\n" ); document.write( ":
\n" ); document.write( "Let x = no. of N's nickels
\n" ); document.write( "Let y = no. of D's dimes
\n" ); document.write( ":
\n" ); document.write( "\"Nadine has seven more nickels than Delano has dimes.\"
\n" ); document.write( "x = y + 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( ".05x + .10(4) = .10(y-4)
\n" ); document.write( ".05x + .40 = .10y - .40
\n" ); document.write( ".05x = .10y - .40 - .40
\n" ); document.write( ".05x = .10y - .80
\n" ); document.write( "Substitute (y+7) for x
\n" ); document.write( ".05(y+7) = .10y - .80
\n" ); document.write( ".05y + .35 = .10y - .80
\n" ); document.write( ".35 + .80 = .10y - .05y
\n" ); document.write( "1.15 = .05y
\n" ); document.write( "y = \"1.15%2F.05\"
\n" ); document.write( "y = 23 dimes
\n" ); document.write( "and
\n" ); document.write( "x = 23 + 7 = 30 nickels
\n" ); document.write( ":
\n" ); document.write( "Check for equality
\n" ); document.write( ".05(30) + 4(.10) = .10(23-4)
\n" ); document.write( "1.50 + .40 = .10(19)
\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
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