Find distance using map measurements

[dudxex]

Summary:: That is the problem down there.
The scale on a map is 1 inch (in.) ? 80 miles (mi). If two cities are 2 & 3/4in. apart on the map, what is the actual distance between the cities?

So what I did was convert the scales 80/1 mi per in. and multiplied it to 2 & 3/4in which I got an answer of 220 miles apart? somebody please check my answer? thanks a lot.

 

[Bonkus Klunkit]

Iffin 1 inch=80miles, wouldn't 2 inches = 160miles, and 2&3/4 inches = 160 + (3/4*80)?---160+60=220, maybe I misunderstood the question.

 

[mfb]

Please post homework questions and homework-like questions in our homework section (I moved the thread).

I agree with your answer.

 

[jedishrfu]

You could also have done it with decimal notation

80 km/inch * 2.75 inch = 220 km // notice dimensionally the inch units cancel leaving km as the answer's unit of measure. Dimensional checks are useful for checking an answer ie that you aren't missing some conversion factor.

As an example, if the problem said it was 80km/inch and you traveled 2.75 centimeters then you'd need to find the inches per centimeter factor (ie 0.3937 in/cm) to complete the calculation.

https://www.khanacademy.org/math/al...on/v/dimensional-analysis-units-algebraically