document.write( "Question 157381: A purse contains a collection of quaters, dimes,
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document.write( "nickels,and pennies.Thwe average value of the coins
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document.write( "in the purse is 18cents.If a penny is removed from the purse
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document.write( "the average value is___19.find how many nickels are there? \n" );
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Algebra.Com's Answer #116061 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! 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 \n" ); document.write( ": \n" ); document.write( " \n" ); document.write( "Or \n" ); document.write( "x = .18y \n" ); document.write( "then, when penny removed \n" ); document.write( " \n" ); document.write( "Substitute .18y for x: \n" ); document.write( " \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: \n" ); document.write( ": \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 \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |