A survey is conducted in a certain neighborhood to find out residence 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, r surveyed? How many residents were surveyed?

1 answer

Let r represent the total number of residents surveyed.
The equation representing the number of residents who like spending their vacation at the beach is (2/5)r = 80.
Multiplying both sides of the equation by 5/2 gives r = (5/2)*80 = 200.
Therefore, 200 residents were surveyed. Answer: \boxed{200}.