Answer:
the total number of students surveyed is 14000.
Explanation:
We are given that 140 students voted for rap, and we know that rap is 25% of the total number of students surveyed. Therefore, we can set up the following equation to represent the information given in the problem:
140 students = 25% * x
We can then solve this equation for x to find the total number of students surveyed. First, we need to divide both sides of the equation by 25% to isolate x:
140 students / 25% = x
Next, we need to convert the percentage to a decimal by dividing by 100:
140 students / 0.25 = x
Finally, we can solve for x by multiplying both sides of the equation by 0.25:
140 students / 0.25 * 0.25 = x * 0.25
x = 140 students * 0.25 / 0.25
x = 3500 / 0.25
x = 14000