The ratio of dogs to cats at an animal shelter is 33 to 22. how many dogs are at the shelter if there is a total of 30 animals?
we can factor an 8 from each term
8*y + 8*6
4(5x + 6)
to start, let's expand things out, as we cannot learn anything from this form. we get 30x + 20 - 10x + 4, or 20x + 24. to find the gcd (greatest common divisor), we take the terms and try to find the number (or term) that divides them. it must be a constant, because of the 24, and 4 goes into 20 and 24. so, our final answer is 4(5x + 6).