2004 AMC 8 Problem 1

Below is the professionally curated solution for Problem 1 of the 2004 AMC 8, from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2004 AMC 8 solutions, or check the answer key.

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Concepts:ratio and proportion

Difficulty rating: 370

1.

On a map, a 1212-centimeter length represents 7272 kilometers. How many kilometers does a 1717-centimeter length represent?

66

102102

204204

864864

12241224

Solution:

Note that 11 cm represents 72÷12=672 \div 12 = 6 kilometers. This means that 1717 cm represents 617=1026 \cdot 17 = 102 kilometers.

Thus, B is the correct answer.

Problem 1 in Other Years

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