Question

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

Answer 1

Answer:

35 cm

Step-by-step explanation:

We are given the scale on a map is:

$5\text{ cm }:8\text{ km }$.

We are also asked to find $x$ such that:

$frac{x\text{ cm }:56\text{ km }$.

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

I purposely put $56$ 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:

$\frac{5}{8}=\frac{x}{56}$

Multiply both sides by 56:

$\frac{5}{8} \cdot 56=x$

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

$5 \cdot \frac{56}{8}=x$

$5 \cdot 7=x$

$35=x$

So the answer is 35 cm.