document.write( "Question 620589: I have some change (pennies, nickels, and dimes) in my pocket. Fourteen of the coins are dimes, 25% of them are nickels, and five-ninths of them are pennies. What is the total value of my change? \n" ); document.write( "
Algebra.Com's Answer #390315 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
I have some change (pennies, nickels, and dimes) in my pocket.
\n" ); document.write( " Fourteen of the coins are dimes, 25% of them are nickels, and five-ninths of them are pennies.
\n" ); document.write( " What is the total value of my change?
\n" ); document.write( ":
\n" ); document.write( "Let p = no. of pennies
\n" ); document.write( "Let n = no. of nickels
\n" ); document.write( "no. of dimes given as 14
\n" ); document.write( "Let t = total number of coins
\n" ); document.write( ":
\n" ); document.write( "Find the total number coins first
\n" ); document.write( ":
\n" ); document.write( "\"25% of them are nickels,\"
\n" ); document.write( "n = \"1%2F4\"t
\n" ); document.write( ":
\n" ); document.write( "\"five-ninths of them are pennies.\"
\n" ); document.write( "p = \"5%2F9\"t
\n" ); document.write( ":
\n" ); document.write( "t = p + n + 14
\n" ); document.write( "Replace p and n
\n" ); document.write( "t = \"5%2F9\"t + \"1%2F4\"t + 14
\n" ); document.write( "multiply by 36 to clear the denominators, results
\n" ); document.write( "36t = 4(5t) + 9t + 36(14)
\n" ); document.write( "36t = 20t + 9t + 504
\n" ); document.write( "36t = 29t + 504
\n" ); document.write( "36t - 29t = 502
\n" ); document.write( "7t = 504
\n" ); document.write( "t = 504/7
\n" ); document.write( "t = 72 coins
\n" ); document.write( "then
\n" ); document.write( "p = \"5%2F9\"(72)
\n" ); document.write( "p = 40 pennies
\n" ); document.write( "and
\n" ); document.write( "n = \"1%2F4\"(72)
\n" ); document.write( "n = 18 nickels
\n" ); document.write( ":
\n" ); document.write( "\" What is the total value of my change?\"
\n" ); document.write( "V = .01(40) + .05(18) + .10(14)
\n" ); document.write( "V = .40 + .90 + 1.40
\n" ); document.write( "V = $2.70
\n" ); document.write( "
\n" ); document.write( "
\n" );