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)
C
O
r = 80; 200 residents were surveyed.
; 200 residents were surveyed.
·T= 80; 32 residents were surveyed.
80r
r = 80; 200 residents were surveyed.
The correct equation that represents the number of residents surveyed is r = 200.
From the information given, we know that two-fifths of the respondents, or 80 residents, said they like spending their vacation at the beach.
If 80 residents represent two-fifths of the total number of respondents, we can set up the equation:
(2/5)r = 80
To find the total number of residents surveyed (r), we need to solve for r. We can do this by multiplying both sides of the equation by the reciprocal of 2/5, which is 5/2:
r = 80 * (5/2)
r = 400/2
r = 200
Therefore, 200 residents were surveyed.
The equation that represents the number of residents surveyed is r = 80, and 200 residents were surveyed.
To find the equation representing the number of residents surveyed, we can use the given information that two-fifths of the respondents, or 80 residents, said they like spending their vacation at the beach.
Let's denote the total number of residents surveyed as r.
We know that two-fifths of the residents surveyed, or 80 residents, like spending their vacation at the beach. So, we can set up the equation:
(2/5) * r = 80
Now, to find the total number of residents surveyed, we need to solve the equation for r.
Multiplying both sides of the equation by 5/2 (or multiplying by 2 and then dividing by 5), we get:
r = (80 * 5) / 2
Simplifying further, we have:
r = 400 / 2
r = 200
Therefore, the equation representing the number of residents surveyed is r = 200, and 200 residents were surveyed.