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)

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

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

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

2/5r=80; 32 residents were surveyed.

1 answer

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

Multiply both sides of the equation by 5/2: (5/2)(2/5)r = (5/2)(80)
Simplify: r = 200

Therefore, 200 residents were surveyed.

So the correct answer is: 2/5r = 80; 200 residents were surveyed.