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

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There are four types of coins, pennies ($0.01), nickels [#permalink] New post 29 Sep 2006, 03:29
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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, 16:39, edited 1 time in total.
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Re: DS: Peggy's Piggy Bank [#permalink] New post 29 Sep 2006, 15:38
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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Re: DS: Peggy's Piggy Bank [#permalink] New post 29 Sep 2006, 16:31
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.


What about

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
Re: DS: Peggy's Piggy Bank   [#permalink] 29 Sep 2006, 16:31
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There are four types of coins, pennies ($0.01), nickels

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