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=2/5; 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.
80r = 2/5 represents the number of residents surveyed.
To find out how many residents were surveyed, we need to solve for r.
Dividing both sides of the equation by 80, we get:
r = (2/5) / 80
Simplifying the right side:
r = (2/5) * (1/80)
r = 2/400
Dividing both numerator and denominator by 2:
r = 1/200
So 1 resident represents 200 residents surveyed.
Therefore, the number of residents surveyed is 80 * 200 = 16,000.
The correct equation is 80r = 2/5 and 16,000 residents were surveyed.