Question

Sonoma bikes 5 miles to Paige's house. On a map, they measure that distance as 5/6 cm. The same map shows that the mall is 31/2 cm from Paige's house. What is the actual distance between Page's house and the mall?Please show the math steps.

Answer 1

We are given that on a map the distance of 5 miles is equivalent to 5/6 cm, we are asked to determine the actual distance if the map shows 3 1/2 cm. To do that, we need to find the proportion between actual distance and ditance on the map, we do that by dividing the known actual and map distances, like this:

Now, we multiply the distance on the map for which we want to find its actual equivalence since this proportion must be constant for any distance on the map. We get:

Therefore, the actual distance is 21 miles