A survey is conducted in a certain neighborhood to find out residence Favorite vacation spot. 2/5 of the respondents, or 80 residence said they like spending their vacation at the beach. Which equation represents the number of, r surveyed? How many residents were surveyed?
Let r represent the total number of residents surveyed.
The equation representing the number of residents who like spending their vacation at the beach is (2/5)r = 80.
Multiplying both sides of the equation by 5/2 gives r = (5/2)*80 = 200.
Therefore, 200 residents were surveyed. Answer: \boxed{200}.
To find the number of residents surveyed, we can set up a proportion using the information given.
Let's call the number of residents surveyed "r". According to the problem, 2/5 of the respondents, or 80 residents, said they like spending their vacation at the beach.
So, we can set up the following proportion:
2/5 = 80/r
To calculate r, we can cross-multiply and solve for r:
2r = 5 * 80
2r = 400
r = 400/2
r = 200
Therefore, the number of residents surveyed is 200.
To find the number of residents surveyed, we need to set up an equation based on the given information.
We know that 2/5 (or 2 out of 5) of the respondents said they like spending their vacation at the beach. This represents a fraction of the total number of respondents surveyed. We can represent this fraction using a proportion.
Let's assume the total number of respondents surveyed is "r". Since 2/5 of the respondents 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 multiplying both sides of the equation by the reciprocal of 2/5, which is 5/2. This gives us:
r = (80 * 5/2)
Now, we can simplify the equation:
r = 200
Therefore, there were 200 residents surveyed to find out their favorite vacation spot.