document.write( "Question 157381: A purse contains a collection of quaters, dimes,
\n" ); document.write( "nickels,and pennies.Thwe average value of the coins
\n" ); document.write( "in the purse is 18cents.If a penny is removed from the purse
\n" ); document.write( "the average value is___19.find how many nickels are there?
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Algebra.Com's Answer #116061 by ankor@dixie-net.com(22740)\"\" \"About 
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A purse contains a collection of quarters, dimes, nickels,and pennies.
\n" ); document.write( "The average value of the coins in the purse is 18 cents. If a penny is removed
\n" ); document.write( "from the purse, the average value is .19. Find how many nickels are there?
\n" ); document.write( ":
\n" ); document.write( "Let x = total value of the coins
\n" ); document.write( "Let y = no. of coins
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\n" ); document.write( "\"x%2Fy\" = .18
\n" ); document.write( "Or
\n" ); document.write( "x = .18y
\n" ); document.write( "then, when penny removed
\n" ); document.write( "\"%28%28x-.01%29%29%2F%28%28y-1%29%29\" = .19
\n" ); document.write( "Substitute .18y for x:
\n" ); document.write( "\"%28%28.18y-.01%29%29%2F%28%28y-1%29%29\" = .19
\n" ); document.write( ".18y - .01 = .19(y-1)
\n" ); document.write( ":
\n" ); document.write( ".18y - .01 = .19y - .19
\n" ); document.write( ":
\n" ); document.write( "+.19 - .01 = .19y - .18y
\n" ); document.write( ":
\n" ); document.write( ".18 = .01y
\n" ); document.write( "y = .18/.01
\n" ); document.write( "y = 18 coins
\n" ); document.write( "Find x
\n" ); document.write( "x = .18(18)
\n" ); document.write( "x = $3.24 total value
\n" ); document.write( ":
\n" ); document.write( "Check this: \"3.23%2F17\" = .19 (one penny removed)
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\n" ); document.write( "Actually I don't think there will be any nickels.
\n" ); document.write( ":
\n" ); document.write( "In order to get this amt with 18 coins we must have:
\n" ); document.write( "12 quart = 3.00
\n" ); document.write( " 2 dimes = 0.20
\n" ); document.write( " 4 pennies =.04
\n" ); document.write( "----------------
\n" ); document.write( "18 coins = $3.24\r
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