document.write( "Question 278092: Plato has 58 coins in nickels, dimes, and quarters. The number of nickels is three less than twice the nuber of dimes. The total value of the coins is $7.40. How many of each coin does Plato have? \r
\n" ); document.write( "\n" ); document.write( "**please include the work to get the answer, too\r
\n" ); document.write( "\n" ); document.write( "THANK YOU! :) \n" ); document.write( "
Algebra.Com's Answer #202391 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
Plato has 58 coins in nickels, dimes, and quarters.
\n" ); document.write( " The number of nickels is three less than twice the number of dimes.
\n" ); document.write( " The total value of the coins is $7.40.
\n" ); document.write( " How many of each coin does Plato have?
\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( "\"Plato has 58 coins in nickels, dimes, and quarters.\"
\n" ); document.write( "n + d + q = 58
\n" ); document.write( ":
\n" ); document.write( "\"The number of nickels is three less than twice the number of dimes.\"
\n" ); document.write( "n = 2d - 3
\n" ); document.write( ":
\n" ); document.write( "\"The total value of the coins is $7.40.\"
\n" ); document.write( ".05n + .10d + .25q = 7.40
\n" ); document.write( ":
\n" ); document.write( "From the 2nd equation, we know that n = (2d-3)
\n" ); document.write( "Replace n in the 1st equation
\n" ); document.write( "(2d-3) + d + q = 58
\n" ); document.write( "3d + q = 58 + 3
\n" ); document.write( "3d + q = 61
\n" ); document.write( "q = (61-3d); use this form for substitution
\n" ); document.write( ":
\n" ); document.write( "Do the same in the 3rd equation
\n" ); document.write( ".05(2d-3) + .10d + .25q = 7.40
\n" ); document.write( ".10d - .15 + .10d + .25q = 7.40
\n" ); document.write( ".20d + .25q = 7.40 + .15
\n" ); document.write( ".20d + .25q = 7.55
\n" ); document.write( "replace q with (61-3d)
\n" ); document.write( ".20d + .25(61-3d) = 7.55
\n" ); document.write( ".20d + 15.25 - .75d = 7.55
\n" ); document.write( ".20d - .75d = 7.55 - 15.25
\n" ); document.write( "-.55d = -7.70
\n" ); document.write( "d = \"%28-7.7%29%2F%28-.55%29\"
\n" ); document.write( "d = 14 dimes
\n" ); document.write( ":
\n" ); document.write( "Find the number of nickels
\n" ); document.write( "n = 2d - 3
\n" ); document.write( "n = 2(14) - 3
\n" ); document.write( "n = 25 nickels
\n" ); document.write( ":
\n" ); document.write( " How many of each coin does Plato have?
\n" ); document.write( "Use the 1st equation to find q
\n" ); document.write( "n + d + q = 58
\n" ); document.write( "25 + 14 + q = 58
\n" ); document.write( "q = 58 - 39
\n" ); document.write( "q = 19 quarters
\n" ); document.write( ";
\n" ); document.write( ":
\n" ); document.write( "You can check solution in the total$ equation:
\n" ); document.write( ".05(25) + .10(14) + .25(19) =
\n" ); document.write( " \n" ); document.write( "
\n" );