Question

Jeremy is driving to his friends house that is 60 miles away from his home the scale on Jeremy's map is 1 1/2 inches equivalent to 9 miles how far is it on the map from jeremys house to his friends?

Answer 1

The distance between their house on the map is 10 inches.

Explanation:

In order to calculate the distance from Jeremy's friend house to his we can apply a rule of three in a way that 60 miles is related to "x" inches in the same proportion as "1 1/2" inches is related to 9 miles. Before applying that it'll be for the best if we convert the mixed fraction to a pure fraction as shown below:

`d = 1(1)/(2) = 1 + (1)/(2) = (2)/(2) + (1)/(2) = (3)/(2)`

Creating the rule of three:

`(60)/(9) \frac{\text{miles}}{\text{miles}} = (x)/((3)/(2)) \frac{\text{inches}}{\text{inches}}\\\\9*x = (60*3)/(2)\\\\x = (180)/(18)\\\\x = 10 \text{ inches}`

The distance between their house on the map is 10 inches.