A group of middle school students were randomly chosen and asked about whether or not they will attend the school dance. Of these students, 65% said yes, they will attend. If 52 students responded yes, how many students were surveyed?

80 Students were surveyed.

Step-by-step explanation:

To find the answer we need to do a Rule of Three. The Rule of Three is a Mathematical Rule that will help us to solve problems based on proportions.

1. I know that a 65% of students are 52 students. I need to know how many students represent that 100%.

2. So if 52 students mean 65%

             X students mean   100%

Pay attention here. We have to put the same elements in the same columns. Students with studients and percentage with percentage.

3. Now I have to cross these details. I have to multiple 52*100. So:

52*100= 5200

4. Then divide that result by 65.

5200/65= 80

5. So 80 is the total number of students surveyed.