Question

There are 56 sheep in a paddock. Each sheep is either black or white. There are 6 times as many white sheep than black sheep. How many black sheep are there?

Answer 1

9 black sheep because 56 divided by 6 is 9 and there is 6 times as many white sheep than there is black. Hope this helped!

Answer 2

Here we want to make a system of equations and solve it, in this way, we will see that there are 8 black sheep.

first, let's define the variables:

x = number of black sheep

y = number of white sheep.

We know that:

"there are 56 sheep"

Then we can write:

$x + y = 56$

We also know that there are 6 times as many white sheep than black sheep, this means that:

$y = 6 \cdot x$

Then we have a system of equations:

$x + y = 56$

$y = 6\cdot x$

To solve this we need to start by isolating one of the variables in one of the equations. Here, we can see that the variable y is already isolated in the second equation, so we can use that.

Now we can replace that variable in the other equation:

$x + y = 56$

$x + 6\cdot x = 56$

Now we can solve this for x, the number of black sheep:

$7\cdot x = 56\\\\x = 56/7 = 8$

There are 8 black sheep.

If you want to learn more, you can read:

https://brainly.com/question/24374693