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AMC 12/AHSME
2014 AMC 12/AHSME
7
Integer value of expression
Integer value of expression
Source: 2014 AMC 12B #7
February 20, 2014
inequalities
AMC
Problem Statement
For how many positive integers
n
n
n
is
n
30
−
n
\frac{n}{30-n}
30
−
n
n
also a positive integer?
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A
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4
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B
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5
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C
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6
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D
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7
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8
{ <span class='latex-bold'>(A)</span>\ 4\qquad<span class='latex-bold'>(B)</span>\ 5\qquad<span class='latex-bold'>(C)</span>\ 6\qquad<span class='latex-bold'>(D)</span>}\ 7\qquad<span class='latex-bold'>(E)</span>\ 8
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4
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B
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5
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C
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6
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D
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7
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E
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8
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