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)

Question

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.

Answer 1

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.