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
2/5r=80;200 residents were surveyed
This option is the correct equation and number of residents surveyed. 2/5r=80;200 residents were surveyed
The correct equation representing the number of residents surveyed is: 2/5r = 80. This equation implies that two-fifths of the total residents surveyed, represented by "r," equal 80. To find the total number of residents surveyed, we solve for "r."
To do this, we multiply both sides of the equation by the reciprocal of 2/5, which is 5/2, to isolate "r" on one side of the equation:
(5/2)(2/5)r = (5/2)(80)
r = 200
Thus, 200 residents were surveyed.
The correct equation to represent 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 that, we'll isolate r by dividing both sides of the equation by 2/5:
(2/5)r = 80
r = 80 / (2/5)
r = 80 * (5/2)
r = 400 / 2
r = 200
Therefore, 200 residents were surveyed. So the correct answer is "2/5r=80;200 residents were surveyed".