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A school give scholarship of a total of $940,000 to students

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by Max@Math Revolution » Fri Apr 01, 2016 7:09 am
A school give scholarship of a total of $940,000 to students, the scholarship consist of 3 types $95,000, $35,000, and $10,000. What is the smallest possible number of students who take the scholarship?

A. 13
B. 14
C. 15
E. 16
E. 17


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by baladon99 » Sat Apr 02, 2016 12:14 pm
E 16
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by Max@Math Revolution » Sun Apr 03, 2016 11:59 pm
A school give scholarship of a total of $940,000 to students, the scholarship consist of 3 types $95,000, $35,000, and $10,000. What is the smallest possible number of students who take the scholarship?

A. 13
B. 14
C. 15
E. 16
E. 17


The number of first-place students=f
The number of second-place students=s
The number of third-place students=t
Then, an equation 95,000f+35,000s+10,000t=940,000 is derived.
In order for f+s+t to be minimum, f should be maximum followed by s and t.
Then, f=9, s=1, t=5 are derived and f+s+t=9+1+5=15.
Thus, C is the answer.
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