Question

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?

Answer 1

The ratio is 2:3

Let

• Coles place be 2x
• Ambars place=3x

`\\ \sf{:}\!\implies 2x+3x=500`

`\\ \sf{:}\!\implies 5x=500`

`\\ \sf{:}\!\implies x=(500)/(5)`

`\\ \sf{:}\!\implies x=100`

• 2x=2(100)=200
• 3x=3(100)=300