Question

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.

80r=25
; 200 residents were surveyed.
80 r equals Start Fraction 2 over 5 End Fraction ; 200 residents were surveyed.

25r=80
; 32 residents were surveyed.

Answer 1

Equation: (2/5) r = 80.

Solve: r = 80 ÷ (2/5) = 80 × (5/2) = 200.

So 200 residents were surveyed.