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)
5
2
r=80
; 200 residents were surveyed.
80r=
2
5
; 200 residents were surveyed.
2
5
r=80
; 200 residents were surveyed.
2
5
r=80
; 32 residents were surveyed.
The correct equation that represents the number of residents surveyed is 2/5r = 80. To find out how many residents were surveyed, we need to solve this equation for r.
To do this, we can multiply both sides of the equation by the reciprocal of 2/5, which is 5/2. This will cancel out the fraction on the left side of the equation.
(2/5)r * (5/2) = 80 * (5/2)
On the left side, the fraction cancels out, leaving us with r:
r = 80 * (5/2)
r = 400/2
r = 200
Therefore, 200 residents were surveyed. The correct answer is:
2/5r = 80; 200 residents were surveyed.
2/5r=80; 200 residents were surveyed.
To find the equation that represents the number of residents surveyed, we need to determine the total number of residents surveyed in terms of "r".
Given that two-fifths of the respondents, or 80 residents, said they like spending their vacation at the beach, we can use this information to set up the equation.
The equation that represents the number of residents surveyed is:
2/5 r = 80
To find the value of "r", we need to solve this equation for "r".
Multiplying both sides of the equation by 5/2 gives us:
r = (80)(5/2)
Simplifying, we get:
r = 400/2
r = 200
Therefore, the equation that represents the number of residents surveyed is: 2/5 r = 80, and 200 residents were surveyed.
So, the correct answer is:
2/5 r = 80; 200 residents were surveyed.