A survey was given asking whether people like dogs and/or cats. 153 said they like dogs 191 said they like cats 56 said they liked both cats and dogs 74 said they don't like cats or dogs. How many people were surveyed?

There were 362 people surveyed

Step-by-step explanation:

* Lets explain how to solve the problem

- A survey was given asking whether people like dogs and/or cats

# 153 said they like dogs

# 191 said they like cats

# 56 said they liked both cats and dogs

# 74 said they don't like cats or dogs

- We need to find how many people were surveyed

* Lets find the number of who likes dogs only and the number who

likes cats only

- The number who likes dog only (cats only) is the difference between

the number who likes dogs (cats) and the number who likes both

∴ The number who likes dogs only = 153 - 56 = 97

∴ The number who likes cats only = 191 - 56 = 135

- The total number of people were surveyed is the sum of the number

who likes cats only and who likes dogs only and who likes both and

who doesn't like both

∵ The number who doesn't like dogs or cats is 74

∴ The total number = 97 + 135 + 56 + 74 = 362

* There were 362 people surveyed