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)
2/5r = 80
r = 80*5/2
r = <<80*5/2=200>>200
Answer: The equation is 2/5r = 80 and 200 residents were surveyed.
To find the equation that represents the number of residents surveyed, we can set up a proportion using the information given.
We know that two-fifths of the respondents, or 80 residents, said they like spending their vacation at the beach. This means that 2/5 of the total number of residents surveyed is equal to 80.
Let's represent the total number of residents surveyed as r. The proportion can be set up as follows:
(2/5) * r = 80
Now, in order to find the value of r, we can solve this equation for r:
2/5 * r = 80
To isolate r, we can multiply both sides of the equation by 5/2:
r = (80 * 5) / 2
r = 400 / 2
r = 200
Therefore, the equation representing the number of residents surveyed is (2/5) * r = 80, and there were 200 residents surveyed.
To find the equation that represents the number of residents surveyed, we can assume that the total number of residents surveyed is equal to "r".
Given that two-fifths, or 2/5, of the residents surveyed said they like spending their vacation at the beach, we can set up the following equation:
(2/5) * r = 80
To solve for "r", we need to isolate it on one side of the equation. We can do this by dividing both sides of the equation by (2/5):
r = 80 / (2/5)
To simplify this expression, we can multiply the numerator by the reciprocal of the denominator:
r = 80 * (5/2)
r = 400 / 2
r = 200
Therefore, the equation that represents the number of residents surveyed is r = 200, and 200 residents were surveyed.