Art of Problem Solving
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2004 AMC 8 Problems/Problem 1: Difference between revisions

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== Solution ==
== Solution ==
We set up the proportion  <math>\frac{12  \text{cm}}{72  \text{km}}=\frac{17 \text{cm}}{x \text{km}}</math>. Thus <math>x=102 \Rightarrow \boxed{\textbf{(B)}\ 102}</math>
We set up the proportion  <math>\frac{12  \text{cm}}{72  \text{km}}=\frac{17 \text{cm}}{x \text{km}}</math>. Thus <math>x=102 \Rightarrow \boxed{\textbf{(B)}\ 102}</math>
== Solution 2 ==
Since we know


==See Also==
==See Also==
{{AMC8 box|year=2004|before=First <br />Question|num-a=2}}
{{AMC8 box|year=2004|before=First <br />Question|num-a=2}}
{{MAA Notice}}
{{MAA Notice}}

Revision as of 03:18, 24 July 2018

Problem

On a map, a $12$-centimeter length represents $72$ kilometers. How many kilometers does a $17$-centimeter length represent?

$\textbf{(A)}\ 6\qquad\textbf{(B)}\ 102\qquad\textbf{(C)}\ 204\qquad\textbf{(D)}\ 864\qquad\textbf{(E)}\ 1224$

Solution

We set up the proportion $\frac{12  \text{cm}}{72  \text{km}}=\frac{17 \text{cm}}{x \text{km}}$. Thus $x=102 \Rightarrow \boxed{\textbf{(B)}\ 102}$

Solution 2

Since we know

See Also

2004 AMC 8 (ProblemsAnswer KeyResources)
Preceded by
First
Question
Followed by
Problem 2
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All AJHSME/AMC 8 Problems and Solutions

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