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A map has a key showing that every 3 centimeters = 5 kilometers. How far apart are
two cities if the map shows they are 81 centimeters apart?

A map has a key showing that every 3 centimeters 5 kilometers How far apart are two cities if the map shows they are 81 centimeters apart class=

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linandrew41

Let's consider the information given to us:

  • 3 centimeters = 5 kilometers ⇒ [tex]\frac{3 cm}{5 km}[/tex]
  • 81 centimeters = x kilometers ⇒ [tex]\frac{81 cm}{x km}[/tex]

Now we know these proportions are equal, so:

    [tex]\frac{3}{5}=\frac{81}{x}\\ 3x = 5 * 81\\3x = 405\\x = 135[/tex]

Thus the two cities are 135 km apart

Answer: 135 km

Hope that helps!

Answer:

135 km

Step-by-step explanation:

5 km / 3cm   *  81 cm  = 135 km  

     ( see how the 'cm' cancel and you are left with 'km' as your answer?)