on a map, 3 inches represent an actual distance of 42 miles. If the actual distance between two cities is 322 miles, how many inches apart will the two cities be on the map ?
3 INCHES= 42 MILES. 42 MILES DIVIDED BY 322 MILES= 7.6
3X7.6= 22.8 INCHES APART
Answer:
Two cities are 23 inches apart on the map
Step-by-step explanation:
on a map, 3 inches represent an actual distance of 42 miles.
the actual distance between two cities is 322 miles
Let x be the inches apart on the map
Lets make a proportion
\(\frac{inches}{actual} =\frac{inches}{actual}\)
\(\frac{3}{42} =\frac{x}{322}\)
Cross multiply and solve for x
\(966= 42x\)
Divide both sides by 42
x= 23
Two cities are 23 inches apart on the map