document.write( "Question 643580: Can you please help me on this question I have tried over and over again to get it right but i get it wrong.
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document.write( "Veronica has pennies, nickels, and dimes in her purse, for a total of 32 coins. If the number of pennies is 3 more than twice the number of nickels, and the number of dimes is 4 less then the number of pennies, how many of each does she have? Thank you for your help!
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document.write( "Jasdeep Kaur
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Algebra.Com's Answer #404671 by ankor@dixie-net.com(22740) You can put this solution on YOUR website! Veronica has pennies, nickels, and dimes in her purse, for a total of 32 coins. \n" ); document.write( " If the number of pennies is 3 more than twice the number of nickels, and the \n" ); document.write( " number of dimes is 4 less then the number of pennies, \n" ); document.write( " how many of each does she have? \n" ); document.write( ": \n" ); document.write( "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( "Re-arrange the last two equations get d and n in terms of p: \n" ); document.write( ": \n" ); document.write( "\"Veronica has pennies, nickels, & dimes in her purse, for a total of 32 coins.\" \n" ); document.write( "p + n + d = 32 \n" ); document.write( ": \n" ); document.write( "\"the number of pennies is 3 more than twice the number of nickels,\" \n" ); document.write( "p = 2n + 3 \n" ); document.write( "p - 3 = 2n \n" ); document.write( "or \n" ); document.write( "2n = p - 3 \n" ); document.write( "divide both sides by 2 \n" ); document.write( "n = \n" ); document.write( ": \n" ); document.write( "\"The number of dimes is 4 less then the number of pennies,\" \n" ); document.write( "d = p - 4 \n" ); document.write( ": \n" ); document.write( "Replace n and d in the 1st equation \n" ); document.write( "p + \n" ); document.write( "2p + \n" ); document.write( "2p + \n" ); document.write( "Multiply by 2 to get rid of the fraction \n" ); document.write( "2(2P) + (p-3) = 2(36) \n" ); document.write( "4p + p = 72 + 3 \n" ); document.write( "5p = 75 \n" ); document.write( "p = 75/5 \n" ); document.write( "p = 15 pennies \n" ); document.write( ": \n" ); document.write( "Find the nickels \n" ); document.write( "n = \n" ); document.write( "n = 6 nickels \n" ); document.write( ": \n" ); document.write( "find dimes \n" ); document.write( "d = 15 - 4 \n" ); document.write( "d = 11 dimes \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "See if this adds up: 15 + 6 + 11 = 32\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |