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?

Respuesta :

Answer: 429

Step-by-step 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?

[tex]\frac{\frac{1}{13} *396}{\frac{12}{13} } =\frac{396}{12} =33[/tex]

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

[tex]396+33=429[/tex]

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?

[tex]\frac{\frac{13}{13} *396}{\frac{12}{13} } =\frac{396*13}{12} =\frac{5148}{12} =429[/tex]

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