1987 AMC 8 Problem 23

Below is the professionally curated solution for Problem 23 of the 1987 AMC 8, from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 1987 AMC 8 solutions, or check the answer key.

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Concepts:percentage

Difficulty rating: 820

23.

In 1980,1980, the U.S. Black population (in millions) was 55 in the Northeast, 55 in the Midwest, 1515 in the South, and 22 in the West. To the nearest percent, what percent of the U.S. Black population lived in the South?

20%20\%

25%25\%

40%40\%

56%56\%

80%80\%

Solution:

The total Black population is 5+5+15+2=275 + 5 + 15 + 2 = 27 million.

The South's share is 1527=5955.6%,\dfrac{15}{27} = \dfrac59 \approx 55.6\%, which rounds to 56%.56\%.

Thus, the correct answer is D .

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