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A certain scholarship committee awarded scholarships in the

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A certain scholarship committee awarded scholarships in the [#permalink] New post 25 Feb 2007, 12:07
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A certain scholarship committee awarded scholarships in the amounts of $1250, $2500, and $4000. The committee awarded twice a many $2500 scholarships as $4000 scholarships, and it awarded three times as many $1250 scholarships as $2500. If a total of $37500 was awarded in $1250 scholarships, how many $4000 scholarships were awarded?
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Re: PS [#permalink] New post 25 Feb 2007, 13:38
cucrose wrote:
A certain scholarship committee awarded scholarships in the amounts of $1250, $2500, and $4000. The committee awarded twice a many $2500 scholarships as $4000 scholarships, and it awarded three times as many $1250 scholarships as $2500. If a total of $37500 was awarded in $1250 scholarships, how many $4000 scholarships were awarded?


x = $4000 scholarships
2x = $2500 scholarships
6X = $1250 scholarships

6X*1250 = 37500
6X=30
x=5
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 [#permalink] New post 26 Feb 2007, 17:55
Yes.

37500/1250 = 30 Total $1250 scholarships.

30 / 3 times as many $2500 scholarships = 10 $2500 scholarships

10 / 2 (twice) as many $4000 scholarships = 5 $4000 scholarships
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  [#permalink] 26 Feb 2007, 17:55
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