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)
80r=2/5;200 residents were surveyed
2/5r=80;32 residents were surveyed
5/2r=80;200 residents were surveyed
2/5r=80;200 residents were surveyed
The equation that represents the number of residents surveyed is 2/5r = 80. According to this equation, 80 residents represent two-fifths of the total number of residents surveyed. To find the total number of residents surveyed, we can isolate r by multiplying both sides of the equation by 5/2: r = 80 * (5/2) = 200. Therefore, 200 residents were surveyed.
The correct equation that represents the number of residents surveyed is 2/5r = 80.
To find the number of residents surveyed, we need to solve for r.
We can solve the equation by multiplying both sides by 5/2, which is the reciprocal of 2/5.
(5/2) * (2/5) * r = (5/2) * 80
1 * r = 200
r = 200
Therefore, 200 residents were surveyed.
The correct equation that represents the number of residents surveyed is 2/5r=80. To find out how many residents were surveyed, we need to solve for r.
To do this, we can multiply both sides of the equation by the reciprocal of 2/5, which is 5/2. This gives us:
(5/2)(2/5)r = (5/2)(80)
r = 200
Therefore, 200 residents were surveyed. So, the correct answer is "2/5r=80; 200 residents were surveyed."