Question

All but 1/13 of the students enrolled at a particular elementary school participated in "Family Fun Night" activities. If a total of 396 students were involved in the evening's activities, how many students attend the school?

Answer 1

Answer:429

Step-by-step explanation: let the total number of students in the elementary school be X

X - X/13 = 396

12X/13=396

X=396/*13/12

X=5148/12

X=429

Answer 2

Answer: 429

Explanation:

If all but 1/13 of the students were involved in the evening's activities, that means that 12/13 of the students were involved.

To calculate the total number of students, first you do a simple rule of three to know the number of students that weren't involved in the activities:

If 12/13 of the students represent 396 students, then how many students are 1/13 of the students?

`((1)/(13) *396)/((12)/(13) ) =(396)/(12) =33`

Then, you add this number to the number of students that were involved in the activities:

`396+33=429`

So, 429 is the number of students that attend the school.

You can also calculate it directly by doing the following rule of three:

If 12/13 of students represent 396 students, then how many students are 13/13 of the students?

`((13)/(13) *396)/((12)/(13) ) =(396*13)/(12) =(5148)/(12) =429`