# If 12 people are needed to run four machines, how many people are needed to run 20 machines?

Nov 10, 2016

If the ratio of people to machines is always constant then it would take 60 people to run 20 machines if it takes 12 people to run 4 machines.

#### Explanation:

This problem can be completed by solving this equation"

12 people per 4 machines = x people per 20 machines

or

$\frac{12}{4} = \frac{x}{20}$

Solving for $x$ while keeping the equation balanced gives:

$\frac{20 \cdot 12}{4} = \frac{20 \cdot x}{20}$

$\frac{240}{4} = x$

$x = 60$