elliott00james
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Ambar and Cole are engaged. Ambar works at the pharmacy and Cole works at the Library. In a few months, they will move to an apartment that is located at a point that is collinear to the locations of the pharmacy and the library, and partitions the line segment into a ratio of 2:3 coming from the pharmacy. If each grid in the graph represents 500 meters, then how far is the apartment from both Cole's and Ambar's current places?

Respuesta :

The ratio is 2:3

Let

  • Coles place be 2x
  • Ambars place=3x

[tex]\\ \sf{:}\!\implies 2x+3x=500[/tex]

[tex]\\ \sf{:}\!\implies 5x=500[/tex]

[tex]\\ \sf{:}\!\implies x=\dfrac{500}{5}[/tex]

[tex]\\ \sf{:}\!\implies x=100[/tex]

  • 2x=2(100)=200
  • 3x=3(100)=300

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