A survey is conducted in a certain neighborhood to find out resident favorite vacation spot 2/5 of the respondents or 80 residence said they like spending their vacation at the beach which equation represents the number of residence, which is our surveyed how many residents were surveyed
Let's assume the total number of residents surveyed is represented by R.
According to the information given, 2/5 (or 2 out of 5 parts) of the respondents said they like spending their vacation at the beach. This means that 2/5 * R = 80.
To find the total number of residents surveyed, we can solve for R in the equation 2/5 * R = 80:
2/5 * R = 80
R = 80 * 5/2
R = 200
Therefore, 200 residents were surveyed.