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?
80r = 2 over 5; 200 residents were surveyed.
2 over 5r=80; 200 residents were surveyed.
Start Fraction 2 over 5 End Fraction r equals 80 ; 200 residents were surveyed.
5 over 2r=80; 200 residents were surveyed.
Start Fraction 5 over 2 End Fraction r equals 80 ; 200 residents were surveyed.
2 over 5r=80; 32 residents were surveyed.
The correct equation is 2/5r = 80. The number of residents surveyed, r, can be found by solving this equation.
To do this, we multiply both sides of the equation by 5/2 to isolate r.
(5/2)(2/5r) = (5/2)(80)
r = 200
Therefore, 200 residents were surveyed.
The correct equation to represent the number of residents surveyed is:
5/2r = 80
Using this equation, we can find the value of r:
5/2r = 80
Multiply both sides by 2/5:
r = (80)(2/5)
r = 32
Therefore, 32 residents were surveyed.
The correct equation that represents the number of residents surveyed is: 2/5r = 80. This equation tells us that 2/5 of the total residents surveyed equals 80.
To solve for the number of residents surveyed, we can use algebra. We want to find the value of r, so 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:
(2/5r) * (5/2) = 80 * (5/2)
Simplifying this equation, we get:
r = (80 * 5) / 2
r = 400 / 2
r = 200
Therefore, 200 residents were surveyed.