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, r. surveyed? How many residents were surveyed? (1 point)
To determine the equation that represents the number of residents surveyed, we can set up a proportion based on the given information.
We are told that two-fifths of the respondents, or 80 residents, said they like spending their vacation at the beach. This means that 2/5 of the total residents surveyed equals 80.
Let's represent the total number of residents surveyed as "r".
The proportion can be set up as follows:
2/5 (fraction of respondents who like the beach) = 80 (number of residents who like the beach) / r (total number of residents surveyed)
To solve for "r", we can cross-multiply:
2r = 5 * 80
2r = 400
Now, we divide both sides by 2 to isolate "r":
r = 400 / 2
r = 200
Therefore, the equation representing the number of residents surveyed is r = 200. And the number of residents surveyed is 200.
The equation that represents the number of residents surveyed is:
r = (80 / 2/5)
To solve this equation, we divide 80 by 2/5:
r = 80 * (5/2)
r = 200
Therefore, 200 residents were surveyed.
To find the equation that represents the number of residents surveyed, we need to figure out the relationship between the number of respondents who said they like spending their vacation at the beach (80 residents) and the total number of residents surveyed (r).
The information provided states that two-fifths of the respondents, or 80 residents, said they like spending their vacation at the beach.
We can represent this relationship with the equation:
(2/5) * r = 80
To find the number of residents surveyed, we can solve for r by multiplying both sides of the equation by 5/2:
r = (80) * (5/2) = 200 residents
Therefore, 200 residents were surveyed.