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.

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

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

80r=2/5; 200 residents were surveyed.

1 answer

The correct equation is: 2/5r = 80.

To find out how many residents were surveyed, we can solve the equation for r:

2/5r = 80

To isolate r, we can multiply both sides of the equation by the reciprocal of 2/5, which is 5/2:

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

Therefore, 200 residents were surveyed.

The correct answer is: Start Fraction 2 over 5 End Fraction r equals 80 ; 200 residents were surveyed.