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let p = no. of pennies
\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( "\"John has a collection of pennies, nickels, and dimes that have a total value of $4.42.
\n" ); document.write( ".01p + .05n + .10d = 4.42
\n" ); document.write( ":
\n" ); document.write( "\" He has 4 more dimes than pennies,\"
\n" ); document.write( "d = p + 4
\n" ); document.write( "or
\n" ); document.write( "p = d - 4
\n" ); document.write( ":
\n" ); document.write( "\"and 6 more nickels than dimes.\"
\n" ); document.write( "n = d + 6
\n" ); document.write( ":
\n" ); document.write( "In the total$ equation replace p with (d-4); replace n with (d+6)
\n" ); document.write( ".01(d-4) + .05(d+6) + .10d = 4.42
\n" ); document.write( ".01d - .04 + .05d + .30 + .10d = 4.42
\n" ); document.write( "combine like terms
\n" ); document.write( ".01d + .05d + .10d -.04 + .30 = 4.42
\n" ); document.write( ".16d + .26 = 4.42
\n" ); document.write( ".16d = 4.42 - .26
\n" ); document.write( ".16d = 4.16
\n" ); document.write( "d = 4.16/.16
\n" ); document.write( "d = 26 dimes
\n" ); document.write( "then
\n" ); document.write( "n = 26 + 6
\n" ); document.write( "n = 32 nickels
\n" ); document.write( "and
\n" ); document.write( "p = 26 - 4
\n" ); document.write( "p = 22 pennies
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "You confirm this by finding the the total value using these numbers
\n" ); document.write( ".01(22) + .05(32) + .10(26) =
\n" ); document.write( ":
\n" ); document.write( "Was this enough steps for you to comprehend this problem? C \n" ); document.write( "