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.
The correct equation is "25r = 80". This equation represents the number of residents surveyed. To find out how many residents were surveyed, we can solve this equation for r:
25r = 80
Dividing both sides by 25:
r = 80/25
Simplifying the fraction:
r = 16/5 = 3.2
Therefore, 3.2 represents the number of residents surveyed. However, since it doesn't make sense to have a fraction of a resident, we round up to the nearest whole number. So, 4 residents were surveyed.
None of the given options accurately represent the equation or the number of residents surveyed.