document.write( "Question 277119: emma has a jar containing 65 coins all of which are either nickels or dimes. The total value of the coins is $5.30. How many of each type does she have? \n" ); document.write( "

Algebra.Com's Answer #202088 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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Write an equation for each statement
\n" ); document.write( "n = no. of nickels
\n" ); document.write( "d = no. of dimes
\n" ); document.write( ":
\n" ); document.write( "emma has a jar containing 65 coins
\n" ); document.write( "n + d = 65
\n" ); document.write( "n = (65-d); use this form for substitution
\n" ); document.write( ":
\n" ); document.write( "The total value of the coins is $5.30.
\n" ); document.write( ".05n + .10d = 5.30
\n" ); document.write( ":
\n" ); document.write( "replace n with (65-d)
\n" ); document.write( ".05(65-d) + .10d = 5.30
\n" ); document.write( "3.25 - .05d + .10d = 5.30
\n" ); document.write( "-.05d + .10d = 5.30 - 3.25
\n" ); document.write( ".05d = 2.05
\n" ); document.write( "d = $\"2.05%2F.05\"$
\n" ); document.write( "d = 41 dimes
\n" ); document.write( "then
\n" ); document.write( "65 - 41 = 24 nickels
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Check solution, find the total$
\n" ); document.write( ".05(24) + .10(41) =
\n" ); document.write( "1.20 + 4.10 = 5.30\r
\n" ); document.write( "\n" ); document.write( " How many of each type does she have? \n" ); document.write( "

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