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# Certain scholarship committee awarded scholarships in the

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Manager
Joined: 23 Jan 2008
Posts: 108
Certain scholarship committee awarded scholarships in the  [#permalink]

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31 Jan 2008, 19:30
1
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]

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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
VP
Joined: 28 Dec 2005
Posts: 1472
Re: certain scholarship  [#permalink]

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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
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Re: Certain scholarship committee awarded scholarships in the  [#permalink]

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20 Mar 2018, 04:05
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