Question

A trail runner gets a new map of her favorite mountain. Her old map has a scale of 1cm to 100m. Her new map has a scale of 1cm to 500m. How long is the trail on her new map?

Answer 1

To find the length of the trail on her new map, you can use the ratio of the scales between the old and new maps.

Old map scale: 1 cm to 100 m
New map scale: 1 cm to 500 m

To calculate the length of the trail on the new map, you can set up a proportion:

(Length on New Map) / (Length on Old Map) = (New Map Scale) / (Old Map Scale)

Let's call the length of the trail on the new map "L" (in centimeters):

(L cm) / (1 cm) = (500 m) / (100 m)

Now, solve for L:

L = (1 cm) * (500 m) / (100 m)

L = 5 cm

So, the length of the trail on her new map is 5 centimeters.