document.write( "Question 38478: A vending machine has $41.25 in it. There are 255 coins toal and the machine only accepts nickels, dimes and quarters. There are twice as many dimes as nickels. How many of each coin are in the machine?\r
\n" ); document.write( "\n" ); document.write( "Must be answered a page long! Teachers demands
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Algebra.Com's Answer #24025 by josmiceli(19441)\"\" \"About 
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n = number of nickels
\n" ); document.write( "d = number of dimes
\n" ); document.write( "q = number of quarters
\n" ); document.write( "n + d + q = 255
\n" ); document.write( "There are twice as many dimes as nickels.
\n" ); document.write( "d = 2n
\n" ); document.write( "n + 2n + q = 255
\n" ); document.write( "3n + q = 255
\n" ); document.write( "q = 255 - 3n
\n" ); document.write( "The total is 41.25
\n" ); document.write( "(.05)n + (.10)d + .25(q) = 41.25
\n" ); document.write( "(.05)n + (.10)2n + .25(255 - 3n) = 41.25
\n" ); document.write( ".05n + .20n + 63.75 - .75n = 41.25
\n" ); document.write( "- .50n = 41.25 - 63.75
\n" ); document.write( "-.50n = -22.5
\n" ); document.write( "n = 45
\n" ); document.write( "d = 2n
\n" ); document.write( "d = 90
\n" ); document.write( "q = 255 - 3n
\n" ); document.write( "q = 255 - 135
\n" ); document.write( "q = 120
\n" ); document.write( "there are 45 nickels, 90 dimes, and 120 quarters
\n" ); document.write( "check
\n" ); document.write( "n + d + q = 255
\n" ); document.write( "45 + 90 + 120 = 255
\n" ); document.write( "OK
\n" ); document.write( "(.05)n + (.10)d + .25(q) = 41.25
\n" ); document.write( "(.05)45 + (.10)90 + (.25)120 = 41.25
\n" ); document.write( "2.25 + 9 + 30 = 41.25
\n" ); document.write( "OK
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