document.write( "Question 357564: Please HELP!!!!\r
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document.write( "Peter Parker has a piggy that bank contains only nickels and dimes. The total value of the coins in Pete's bank is $2.75. If the nickels were dimes and the dimes were nickels, the total value of the coins would be $3.25. Find the number of nickels in Parker's bank. \n" );
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Algebra.Com's Answer #255357 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! a piggy that bank contains only nickels and dimes. \n" ); document.write( " The total value of the coins in Pete's bank is $2.75. \n" ); document.write( " If the nickels were dimes and the dimes were nickels, the total value of the \n" ); document.write( "coins would be $3.25. \n" ); document.write( " Find the number of nickels: \n" ); document.write( ": \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( "\"The total value of the coins in Pete's bank is $2.75.\" \n" ); document.write( ".05n + .10d = 2.75 \n" ); document.write( ": \n" ); document.write( "\"If the nickels were dimes and the dimes were nickels, the total value of the \n" ); document.write( " coins would be $3.25.\" \n" ); document.write( ".10n + .05d = 3.25 \n" ); document.write( ": \n" ); document.write( "Multiply the above equation by 2, subtract the 1st equation \n" ); document.write( ".20n + .10d = 6.50 \n" ); document.write( ".05n + .10d = 2.75 \n" ); document.write( "-----------------------subtraction eliminates d, find n \n" ); document.write( ".15n = 3.75 \n" ); document.write( "n = \n" ); document.write( "n = 25 nickels \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check solution: \n" ); document.write( "find d using the 1st equation \n" ); document.write( ".05(25) + .10d = 2.75 \n" ); document.write( "1.25 + .10d = 2.75 \n" ); document.write( ".10d = 2.75 - 1.25 \n" ); document.write( ".10d = 1.50 \n" ); document.write( "d = \n" ); document.write( "d = 15 dimes \n" ); document.write( ": \n" ); document.write( "Find the total using the 2nd equation \n" ); document.write( ".10(25) + .05(15) = \n" ); document.write( "2.50 + .75 = 3.25; confirms our solution\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |