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
52r=80; 200 residents were surveyed.
Start Fraction 5 over 2 End Fraction r equals 80 ; 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.
80r=25; 200 residents were surveyed.
Start Fraction 5 over 2 End Fraction r equals 80; 200 residents were surveyed.
The correct equation that represents the number of residents surveyed is "Start Fraction 5 over 2 End Fraction r equals 80". According to this equation, 200 residents were surveyed.
To find the equation that represents the number of residents surveyed, let's analyze the information given.
The survey found that two-fifths (or 2/5) of the respondents, which is equivalent to 80 residents, said they like spending their vacation at the beach.
We can set up the equation to represent this situation as follows:
(2/5) * r = 80
Here, "r" represents the total number of residents surveyed.
To solve for "r," we can multiply both sides of the equation by the reciprocal of 2/5, which is 5/2:
r = (80) * (5/2)
Simplifying this expression, we have:
r = 200
Therefore, the equation that represents the number of residents surveyed is 52r = 80, and 200 residents were surveyed.
The correct answer is:
- 52r = 80; 200 residents were surveyed.