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)![]() ![]() 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 = \n" ); document.write( ": \n" ); document.write( "\"five-ninths of them are pennies.\" \n" ); document.write( "p = \n" ); document.write( ": \n" ); document.write( "t = p + n + 14 \n" ); document.write( "Replace p and n \n" ); document.write( "t = \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 = \n" ); document.write( "p = 40 pennies \n" ); document.write( "and \n" ); document.write( "n = \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( " |