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combination problem

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combination problem [#permalink] New post 29 Sep 2004, 09:37
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Hi,
Can someone help me with this question please.

Thanks

In a certain game, a large container is filled with red, yellow, green, and blue beads worth, respectively, 7, 5, 3, and 2 points each. A number of beads are then removed from the container. If the product of the point values of the removed beads is 147,000, how many red beads were removed?
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Re: combination problem [#permalink] New post 29 Sep 2004, 09:56
caribcon wrote:
Hi,
Can someone help me with this question please.

Thanks

In a certain game, a large container is filled with red, yellow, green, and blue beads worth, respectively, 7, 5, 3, and 2 points each. A number of beads are then removed from the container. If the product of the point values of the removed beads is 147,000, how many red beads were removed?

147000 = (7^2)(3^1)(2^3)(5^3)
This means yu r drawing 2 red, 3 yellow,1 green, 3 blue beads.( Since 7,5,3,2 are all prime numbers the product is unique).
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Franky
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 [#permalink] New post 29 Sep 2004, 23:22
Take the prime factorization of 147,000 = (147)*(1000)
= (21*7)*(10*100)
= (3*7*7)*(2*5*10*10)
= (3*7*7*2*5*2*5*2*5)
= (3)(7^2)(2^3)(5^3)

Red is worth 7 points, so two red beads are removed.
  [#permalink] 29 Sep 2004, 23:22
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