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Certain scholarship committee awarded scholarships in the

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Certain scholarship committee awarded scholarships in the [#permalink] New post 31 Jan 2008, 19:30
Certain scholarship committee awarded scholarships in the amounts of $1,250, $2,500 and $4,000. The committee awarded twice as many $2,500 scholarships as $4,000 scholarships, and it awarded three times as many $1,250 scholarships as $2,500 scholarships. If a total of $37,500 was awarded in $1,250 scholarships , how many $4,000 scholarships were awarded ?

1. 5
2. 6
3. 9
4. 10
5. 15
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Re: certain scholarship [#permalink] New post 31 Jan 2008, 19:50
blog wrote:
Certain scholarship committee awarded scholarships in the amounts of $1,250, $2,500 and $4,000. The committee awarded twice as many $2,500 scholarships as $4,000 scholarships, and it awarded three times as many $1,250 scholarships as $2,500 scholarships. If a total of $37,500 was awarded in $1,250 scholarships , how many $4,000 scholarships were awarded ?

1. 5
2. 6
3. 9
4. 10
5. 15


x: 4000 2x:2500 3(2x):1250

37500/1250 --> 30 thus 6x=30 --> x=5 thus 5 4000's were awarded.

A
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Re: certain scholarship [#permalink] New post 31 Jan 2008, 21:19
x=3y, y=2z where x is # of 120 schols, y is # of 2500 schols and z is number of 4000 schols

1250x=37500 -->x=30 -->30=2*y -->30=2(3z) --> z=5
Re: certain scholarship   [#permalink] 31 Jan 2008, 21:19
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