1986 AMC 8 Problem 14 — Solution | LIVE by Po-Shen Loh

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1986 AMC 8 Problem 14

Attempt Problem 14 of the 1986 AMC 8 below, then check your answer against the professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 1986 AMC 8 solutions, or check the answer key.

All problems are used with official legal permission of the Mathematical Association of America (MAA).

14.

If $200 \le a \le 400$ and $600 \le b \le 1200,$ then the largest value of the quotient $\dfrac{b}{a}$ is

$\dfrac32$

$3$

$6$

$300$

$600$

Answer: C

Concepts:inequality optimization

Difficulty rating: 820

Solution:

The quotient $\dfrac{b}{a}$ is largest with the biggest $b$ and smallest $a,$ giving $\dfrac{1200}{200} = 6.$

Thus, the correct answer is C .

← Problem 13#13 Full Exam Problem 15#15 →

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