In order to quickly count his herd, Farmer Dan put one black sheep in the herd for every 24 white sheep. If Farmer Dan’s herd numbered 1050 sheep, how many of them were black?

Answer 1

Hi Ariel,

In this problem, you have a sample size of 25 total sheep: 24 white sheep + 1 black sheep

That means that the ratio of black sheep to total sheep is 1 black

25 total

To determine the number of black sheep out of 1050 total, you can solve the following set of equivalent ratios:

1 black = x

25 total 1050 total

Multiply the numerator and denominator by 42:

1 * 42 = 42

25 * 42 1050

There will be 42 black sheep out of 1050 total.