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

Answer:

$the \: ratio \: is \: 2 \: is \: to \: 3. \\ coles \: place \: be \: 2x. \\ ambars \: place \: be \: 3x. \\ \\ 2x + 3x = 500 \\ 5x = 500 \\ x = \frac{500}{5} = 100. \\ x = 100. \\ \\ 2x = 2(100) = 200. \\ 3x = 3(100) = 300.$

Answer 2

The ratio is 2:3

Let

• Coles place be 2x
• Ambars place=3x

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

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

$\\ \sf{:}\!\implies x=\dfrac{500}{5}$

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

• 2x=2(100)=200
• 3x=3(100)=300