document.write( "Question 11032: --------------------------------------------------------------------------------
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document.write( "A collection of 5 cents and 25 cents total $2.25. The total no. of coins is 25. How many of each kind are there?
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document.write( "Can anybody help to solve this problem. Thanks. \n" );
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Algebra.Com's Answer #11242 by stanbon(75887) ![]() You can put this solution on YOUR website! Let the number of nickels be f \n" ); document.write( "Let the number of quarters be q \n" ); document.write( "Equation: \n" ); document.write( " f + q = 25 \n" ); document.write( "The value of the nickels is 5f cents \n" ); document.write( "The value of the quarters is 25q \n" ); document.write( "Equation: \n" ); document.write( " 5f + 25q = 225cents \n" ); document.write( "Solve this system of equations by substitution: \n" ); document.write( " f = 25-q \n" ); document.write( " 5(25-q) + 25q = 225 \n" ); document.write( " 125 - 5q +25q = 225 \n" ); document.write( " 20q = 100 \n" ); document.write( " q = 5 (number of quarters) \n" ); document.write( " f = 25-q = 20 (number of nickels)\r \n" ); document.write( "\n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " \n" ); document.write( " |