1986 AJHSME Problems/Problem 14: Difference between revisions
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Since <math>b</math> can be no larger than <math>1200</math>, <math>b = 1200</math>. Since <math>a</math> can be no less than <math>200</math>, <math>a = 200</math>. <math>\frac{1200}{200} = 6</math> | Since <math>b</math> can be no larger than <math>1200</math>, <math>b = 1200</math>. Since <math>a</math> can be no less than <math>200</math>, <math>a = 200</math>. <math>\frac{1200}{200} = 6</math> | ||
6 is C. | <math>6</math> is <math>\boxed{\text{C}}</math>. | ||
==See Also== | ==See Also== | ||
[[1986 AJHSME Problems]] | [[1986 AJHSME Problems]] | ||
Revision as of 17:37, 24 January 2009
Problem
If 
and 
, then the largest value of the quotient 
is
Solution
Obviously, will be largest if 
is the largest it can be, and 
is the smallest it can be.
Since can be no larger than 
, 
. Since can be no less than 
, 
. 
is 
.
