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.

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

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

25r=80; 32 residents were surveyed.
Start Fraction 2 over 5 End Fraction r equals 80 ; 32 residents were surveyed.

1 answer

The correct equation is 80r = 25. This means that 80 residents said they like spending their vacation at the beach, and r represents the total number of residents surveyed. To find the number of residents surveyed, we need to solve for r.

Dividing both sides of the equation by 80, we get:
r = 25/80

Simplifying the fraction, we get:
r = 5/16

Therefore, the number of residents surveyed is 5/16 of 80:
5/16 * 80 = 200/16 = 25.

So, 25 residents were surveyed.

The correct answer is: 25r = 80; 25 residents were surveyed.