A machine takes 1 minute to fill 6 cartons of eggs. At this rate, how long will it take to fill 420 cartons?

Jan 13, 2017

It would take 70 minutes to fill 420 cartons of eggs.

Explanation:

Let's use ratios for this problem.

1 minute to fill 6 cartons of eggs can be displayed as a ratio:

$1 : 6$

To find out how long it would take to fill 420 cartons, we must divide 420 by 6.

$\frac{420}{6} = 70$

If we multiply each side of our ratio by 70, we'll have our final answer:

$70 : 420$