Question

Lee springs is 1 7/8 inches from Boothville on a map. the scale of the map is 1/8 inch = 12 miles. what is the actual distance between lee springs and Boothville

Answer 1

We know that

• The scale for the map is 1/8 inches = 12 miles.

,

• The distance on the map is 1 7/8 inches.

First, we transform the mixed fraction into a fraction.

`1(7)/(8)=(1\cdot8+7)/(8)=(8+7)/(8)=(15)/(8)`

So the distance on the map is 15/8 inches.

If 1/8 inches is equivalent to 12 miles, then we can form the following proportion.

`((1)/(8)in)/((15)/(8)in)=(12mi)/(x)`

We solve for x.

`\begin{gathered} (1\cdot8)/(15\cdot8)=(12)/(x) \\ (1)/(15)=(12)/(x) \\ x=(12\cdot15)/(1) \\ x=180mi \end{gathered}`

Therefore, the actual distance is 180 miles.