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

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

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

5/2r=80; 200 residents were surveyed

Answer 1

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

Answer 2

The equation that represents the number of residents surveyed is 2/5r = 80. To find out the number of residents surveyed, we can solve this equation for r.

To solve the equation, we need to isolate r by multiplying both sides of the equation by the reciprocal of 2/5, which is 5/2.

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

Therefore, 200 residents were surveyed.

Answer 3

The correct equation that represents the number of residents surveyed is 2/5r = 80. To solve this equation, we can multiply both sides by the reciprocal of 2/5, which is 5/2. So, the equation becomes (5/2) * (2/5)r = (5/2) * 80. The 2/5 and 5/2 cancel out on the left side, leaving r = 200. Therefore, 200 residents were surveyed.