2002 AMC 8 Problem 10

Attempt Problem 10 of the 2002 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 2002 AMC 8 solutions, or check the answer key.

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

10.

The average price of his ‘ $70$ s stamps is closest to

$3.5$ ¢

$4$ ¢

$4.5$ ¢

$5$ ¢

$5.5$ ¢

Answer: E

Concepts:data and graph interpretation mean

Difficulty rating: 1070

Solution:

The ‘ $70$ s stamps cost $\begin{aligned} &12\cdot6+12\cdot6 \\ &\quad {}+6\cdot4+13\cdot5 \\ &\quad {}=72+72+24+65 \\ &\quad {}=233 \end{aligned}$ cents.

There are $12+12+6+13=43$ stamps, so the average cost is $233\div43$ , a little more than $5$ cents and closest to $5.5$ cents.

Thus, E is the correct answer.

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