Two cities on a map are 3 3/4 inches apart. Using the scale 1 inch = 12 miles, what is the distance between the Cities?
x/(3 3/4) = 12/1
x = 3 3/4 * 12 = 15/4 * 12 = 45 mi
To find the distance between the two cities on the map, we need to convert the measurements from inches to miles using the given scale.
First, we know that the scale is 1 inch = 12 miles. The distance on the map is given as 3 3/4 inches.
To convert this measurement to miles, we multiply the number of inches by the scale factor:
3 3/4 inches × 12 miles/inch
To calculate this, we can first convert the mixed number into an improper fraction:
3 × 4 + 3 = 12 + 3 = 15/4 inches
Now, we can substitute the value into the formula:
15/4 inches × 12 miles/inch
Next, we can simplify by canceling out the units (inches) and calculating the result:
15/4 × 12
= (15 × 12) / 4
= 180 / 4
= 45
Therefore, the distance between the cities is 45 miles.