1986 AMC 8 Problem 10

Below is the professionally curated solution for Problem 10 of the 1986 AMC 8, 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.

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Concepts:symmetry

Difficulty rating: 730

10.

A picture 33 feet across is hung in the center of a wall that is 1919 feet wide. How many feet from the end of the wall is the nearest edge of the picture?

1121\dfrac12

88

9129\dfrac12

1616

2222

Solution:

The picture leaves 193=1619 - 3 = 16 feet of wall, split equally into two gaps of 88 feet each. So the nearest edge of the picture is 88 feet from the end of the wall.

Thus, the correct answer is B .

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