document.write( "Question 598290: Simone has placed 18 dimes in a row on a table. Always starting from the left, first she exchanges each third coin for a quarter; then she exchanges each second coin for a nickel; and finally, she exchanges each ninth coin for a penny.
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document.write( "In cents, how much money does Simone have after the final exchange? \n" );
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Algebra.Com's Answer #378536 by math-vortex(648)![]() ![]() You can put this solution on YOUR website! Hi, there-- \n" ); document.write( ". \n" ); document.write( "Let \n" ); document.write( "D = a dime on the table \n" ); document.write( "Q = a quarter on the table \n" ); document.write( "N = nickel on the table \n" ); document.write( "P = a penny on the table.\r \n" ); document.write( "\n" ); document.write( "18 dimes in a row: \n" ); document.write( ". \n" ); document.write( "D D D D D D D D D D D D D D D D D D \n" ); document.write( ". \n" ); document.write( "Simone exchanges each third coin for a quarter; \n" ); document.write( ". \n" ); document.write( "D D Q D D Q D D Q D D Q D D Q D D Q \n" ); document.write( ". \n" ); document.write( "then she exchanges each second coin for a nickel; \n" ); document.write( ". \n" ); document.write( "D N Q N D N D N Q N D N D N Q N D N \n" ); document.write( ". \n" ); document.write( "finally, she exchanges each ninth coin for a penny. \n" ); document.write( ". \n" ); document.write( "D N Q N D N D N P N D N D N Q N D P \n" ); document.write( ". \n" ); document.write( ". \n" ); document.write( "After Simone's switches, there are \n" ); document.write( "6 dimes: 6*10 = 60 cents \n" ); document.write( "8 nickels: 8*5 = 40 cents \n" ); document.write( "2 quarters: 2*25 = 50 cents \n" ); document.write( "2 pennies: 2*1 = 2 cents \n" ); document.write( ". \n" ); document.write( "The total amount of money is 152 cents. \n" ); document.write( ". \n" ); document.write( "Feel free to email via gmail if the solution is unclear. \n" ); document.write( ". \n" ); document.write( "Ms.Figgy \n" ); document.write( "math.in.the.vortex@gmail.com\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |