At the animal rescue, there are 30 dogs out of 80 animals. What is this ratio written as a fraction in simplest form?

3:8

Step-by-step explanation:

First,  let's look at what each can be divided by.

can both me divided by 5? Yes, 6:16

can both be divided by 3? Yes, 10:26

can both be divided by 2? Yes, 25:40

can we go further into our division? Yes!

Once we divide further, we divide both by 10, getting our answer :)

Hello!

To solve this, we will use substitution and a system of equations where L=length and w=width.

66=2L+2w
L=3w-3

We know that L=3w-3, so we will plug it into the first equation to find w.

66=2(3w-3)+2w
66=6w-6+2w
66=8w-6
72=8w
9=w

Now that we know what w equals, we will plug it into the second equation to find the length.

L=27-3
L=24

We have our numbers, but let's check with the first equation.

66=48+18
66=66

The length is 24, and the width is 9.

I hope this helps!