A survey is conducted in a certain neighborhood to find out residents' favorite vacation spot. Two-fifths of the respondents, or residents, said they like spending their vacation at the beach. Which equation represents the number of residents, r, surveyed? How many residents were surveyed?
Let's say the number of residents surveyed is r.
Since two-fifths of the residents said they like spending their vacation at the beach, this means that 2/5 of r is equal to the number of residents who like spending their vacation at the beach.
We can represent this information with the equation: 2/5 * r = the number of residents who like spending their vacation at the beach.
To find out how many residents were surveyed, we need to solve for r in the equation.
Multiplying both sides of the equation by 5/2, we have:
r = (5/2) * the number of residents who like spending their vacation at the beach.
Since we don't know the number of residents who like spending their vacation at the beach, we can't determine the exact value of r.