the scale on a map is 5cm : 8km. if the distance between two cities is 56
km, how far apart in cm are the two cities on the map

35 cm

Step-by-step explanation:

We are given the scale on a map is:

.

We are also asked to find such that:

.

So I purposely put on top because the centimeters were on top in the previous fraction.

I purposely put on bottom because the kilometers were on bottom in previous fraction.

So this tells us how to setup the proportional that we need to solve which is:

Multiply both sides by 56:

Input left hand side into calculator or do it with your brain:

So the answer is 35 cm.