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?
Options:
2/5r = 80; 32 residents were surveyed
2/5r = 80; 200 residents were surveyed
80r = 2/5; 200 residents were surveyed
5/2r = 80; 200 residents were surveyed
The equation that represents the number of residents surveyed is: 2/5r = 80.
To find how many residents were surveyed, we need to solve this equation for r.
To do this, we can multiply both sides of the equation by 5/2 (the reciprocal of 2/5).
(2/5r) * (5/2) = 80 * (5/2)
r = 200
Therefore, 200 residents were surveyed.
The correct option is: 2/5r = 80; 200 residents were surveyed.