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

5849206328x (talk | contribs) (New page: ==Problem== If <math>200\leq a \leq 400</math> and <math>600\leq b\leq 1200</math>, then the largest value of the quotient <math>\frac{b}{a}</math> is <math>\text{(A)}\ \frac{3}{2} \qqua...) |
|||

Line 7: | Line 7: | ||

==Solution== | ==Solution== | ||

− | {{ | + | Obviously, <math>\frac{b}{a}</math> will be largest if <math>b</math> is the largest it can be, and <math>a</math> is the smallest it can be. |

+ | |||

+ | 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. | ||

==See Also== | ==See Also== | ||

[[1986 AJHSME Problems]] | [[1986 AJHSME Problems]] |

## Revision as of 18:33, 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 , .

6 is C.