A survey is conducted in a certain neighborhood to find out residents' favorite vacation spot. Two-fifths of
the respondents, or 80 residents, said they like spending their vacation at the beach. Which equation
represents the number of residents, ", surveyed? How many residents were surveyed? (1 point)
Let's assume the number of residents surveyed is "x".
According to the information given, two-fifths of the respondents said they like spending their vacation at the beach.
So, the number of residents who like spending their vacation at the beach can be represented by 2/5 * x = 80.
To find the total number of residents surveyed, we can solve the equation for x:
2/5 * x = 80.
Multiplying both sides of the equation by 5/2, we get:
x = 80 * (5/2) = 200.
Therefore, 200 residents were surveyed.