# Difference between revisions of "1986 AJHSME Problems/Problem 14"

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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 18:37, 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 .