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# There are four types of coins, pennies (\$0.01), nickels

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GMAT Instructor
Joined: 04 Jul 2006
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There are four types of coins, pennies (\$0.01), nickels [#permalink]

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29 Sep 2006, 04:29
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There are four types of coins, pennies (\$0.01), nickels (\$0.05) dimes (\$0.10) and quarters (\$0.25). Peggy's piggy bank contains 49 coins. Is there at least one of each type of coin in her piggy bank?

(1) There is \$1.00 in the piggy bank.
(2) The ratio of the number of dimes to the number of pennies is 3:20.

Last edited by kevincan on 29 Sep 2006, 17:39, edited 1 time in total.

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Director
Joined: 26 Feb 2006
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Re: DS: Peggy's Piggy Bank [#permalink]

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29 Sep 2006, 16:38
A. the only possibility is: 100 = (40 x \$0.01)+(6 x \$0.05)+(3 x \$0.1) + (0 x \$0.25)

we donot about st 2 as how much is the total.

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Senior Manager
Joined: 31 Jul 2006
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Re: DS: Peggy's Piggy Bank [#permalink]

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29 Sep 2006, 17:31
Himalayan wrote:
A. the only possibility is: 100 = (40 x \$0.01)+(6 x \$0.05)+(3 x \$0.1) + (0 x \$0.25)

we donot about st 2 as how much is the total.

1x25c + 45x1c + 3x10c ?

I guess that doesn't change answer 'NO', since nickles are missing.

but this really seems to be time consuming problem! Is there a good solution?

here is a solution to a similar problem:

http://mathforum.org/library/drmath/view/57987.html

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Re: DS: Peggy's Piggy Bank   [#permalink] 29 Sep 2006, 17:31
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