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)
Responses
80r=25; 200 residents were surveyed.
80 r equals Start Fraction 2 over 5 End Fraction ; 200 residents were surveyed.
25r=80; 200 residents were surveyed.
Start Fraction 2 over 5 End Fraction r equals 80 ; 200 residents were surveyed.
25r=80; 32 residents were surveyed.
Start Fraction 2 over 5 End Fraction r equals 80 ; 32 residents were surveyed.
52r=80; 200 residents were surveyed.
The correct answer is:
80r = 200; 200 residents were surveyed.
The correct equation that represents the number of residents surveyed is:
80r = 200
Therefore, 200 residents were surveyed.
The correct equation that represents the number of residents surveyed is "80r = 200", and the number of residents surveyed is 200.
To arrive at this answer, you can use the information provided in the question. It states that two-fifths of the respondents, or 80 residents, said they like spending their vacation at the beach.
Since 80 represents two-fifths of the total number of residents surveyed, you can set up the equation 80r = total number of residents.
To find the total number of residents, solve for r by dividing both sides of the equation by 80: r = total number of residents / 80.
Since two-fifths can be written as 2/5, you can substitute it into the equation: 80r = (2/5) * total number of residents.
By comparing this equation to the answer choices, you can determine that the correct equation is "80r = 200". Therefore, the number of residents surveyed is 200.