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On the map below 1/4 inch represents one mile. Candler, Canton, and Oteen are three cities on the map. If Candler and Oteen are 3 1/2 inches apart on the map, what is the actual distance between Candler and Oteen in miles?

2 Answers

5 votes

Answer:

14 miles

Explanation:

Given:


  • \sf Scale=\frac14\:in : 1\:mile
  • distance between Candler and Oteen is 3 1/2 in

Let
x be the distance between Candler and Oteen in miles.


\implies \frac14:1=3 \frac12:x


\implies (\frac14)/(1)=(\frac72)/(x)


\implies \frac14x=\frac72


\implies x=\frac72 / \frac14


\implies x=\frac72 * \frac41


\implies x=(28)/(2)


\implies x=14

User Xclusive
by
7.6k points
4 votes

Answer:

14 miles

Explanation:

Let "Candler" be known as "C" and "Oteen" as "O"

Given:

  • 0.25 inch = 1 mile
  • Distance between "C" and "O" (In inches): 3.5 inches

3.5 ------> 3.50

  • ⇒ Distance between "C" and "O" (In inches): 3.50 inches

Comparing the rate (inches/mile) and the distance:

  • ⇒ 0.25x = 3.50

Multiplying both sides by 100:

  • ⇒ 25x = 350

Clearly, 350 is divisible by 25 as "50" is divisible by 25.

Divide both sides by 25 to isolate x:

  • ⇒ 25x/25 = 350/25
  • ⇒ x = 14

The actual distance between the two cities is 14 miles.

User Dan Leonard
by
8.0k points
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