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?

Question

80r = 2/5; 200 residents were surveyed, 5/2r= 80; 200 residents were surveyed, 2/5r = 80, 32 residents were surveyed, 2/5r = 80; 200 residents were surveyed

Answer 1

To find the total number of residents surveyed, denoted as \( r \), you can start with the information given:

Two-fifths of the respondents (which is represented by \( \frac{2}{5}r \)) said they like spending their vacation at the beach, and this number equals 80 residents.

So, you can set up the equation:

\[ \frac{2}{5}r = 80 \]

To solve for \( r \), multiply both sides by \( \frac{5}{2} \):

\[ r = 80 \times \frac{5}{2} \]

Calculating this gives:

\[ r = 80 \times 2.5 = 200 \]

Thus, the equation that represents the total number of residents surveyed is:

\[ \frac{2}{5}r = 80 \]

And the total number of residents surveyed is 200 residents.

So, the correct statement is: 2/5r = 80; 200 residents were surveyed.