2004 AMC 8 Problem 1

Attempt Problem 1 of the 2004 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 2004 AMC 8 solutions, or check the answer key.

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

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
Answer: B
Concepts:ratio and proportion
Small hint:
Find how many kilometers 11 centimeter represents.
Big hint:
Multiply that scale by 17.17.
Solution:
Note that 11 cm represents 72÷12=672 \div 12 = 6 kilometers. This means that 1717 cm represents 6⋅17=1026 \cdot 17 = 102 kilometers.
Thus, B is the correct answer.
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