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; 32 residents were surveyed.
Start Fraction 2 over 5 End Fraction r equals 80 ; 32 residents were surveyed.
25r=80; 200 residents were surveyed.
Start Fraction 2 over 5 End Fraction r equals 80 ; 200 residents were surveyed.
52r=80; 200 residents were surveyed.
The correct equation that represents the number of residents surveyed is 25r = 80. This means that 25 residents out of the total surveyed population of r residents said they like spending their vacation at the beach. To find the value of r, we can divide both sides of the equation by 25: r = 80/25. Therefore, the number of residents surveyed is 80/25 = 3.2 residents. However, since we cannot have a fraction of a resident, we round up to the nearest whole number. So, 4 residents were surveyed.
Therefore, the correct answer is:
25r = 80; 4 residents were surveyed.
The correct equation that represents the number of residents surveyed is: 25r = 80. This means that 80 residents represent two-fifths (or 40%) of the total number of residents surveyed. To find the total number of residents surveyed, we need to solve for r.
To solve this equation, divide both sides by 25: r = 80/25.
Simplifying, we get: r = 16/5.
So, there were 16/5 residents surveyed. To convert this to a whole number, multiply both the numerator and the denominator by 5: r = (16*5) / (5*5) = 80/25.
Therefore, the correct answer is: 80 residents were surveyed.
The correct response is: "25r = 80; 200 residents were surveyed."
The correct equation representing the number of residents surveyed, r, is 80r = 25. To find the number of residents surveyed, we need to solve for r by dividing both sides of the equation by 80:
80r/80 = 25/80
r = 25/80
Now we can calculate the actual number of residents surveyed by substituting the value of r back into the equation:
r = 25/80
r = 0.3125
To find the total number of residents surveyed, we divide the number of residents who like spending their vacation at the beach (80) by the fraction of respondents they represent (2/5):
Total residents surveyed = 80 / (2/5)
Total residents surveyed = 80 * (5/2)
Total residents surveyed = 200
Therefore, the correct answer is: 80r=25; 200 residents were surveyed.