At the animal shelter there are 56 more dogs than cats. if the total number of animals is 200 how many of each type are in the shelter? set up and solve the problem following the steps below: a).define the unknown quantities in terms of one variable

At the animal shelter there are 56 more dogs than cats. If the total number of animals is 200 how many of each type are in the shelter?

dogs + cats = 200        eq I 
dogs = 56 + cats         eq II

replace dogs in eq I

(56 + cats) + cats = 200 eq with one variable

56 + 2c = 200 
2c = 200 - 56 
2c = 144 /divided 2

cats= 72

dogs = 56 + cats = 56 + 72 = 128

dogs = 126