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 5/2r=80; 200 residents were surveyed. Start Fraction 5 over 2 End Fraction r equals 80 ; 200 residents were surveyed. 80r=2/5; 200 residents were surveyed. 80 r equals Start Fraction 2 over 5 End Fraction ; 200 residents were surveyed. 2/5r=80; 200 residents were surveyed. Start Fraction 2 over 5 End Fraction r equals 80 ; 200 residents were surveyed. 2/5r=80; 32 residents were surveyed. Start Fraction 2 over 5 End Fraction r equals 80 ; 32 residents were surveyed.

Answer 1

The equation that represents the number of residents surveyed is: 2/5r = 80.

To find the number of residents surveyed, we can solve for r:

2/5r = 80

Multiply both sides of the equation by 5/2:

r = (80)(5/2)
r = 400/2
r = 200

Therefore, 200 residents were surveyed.