One day at kips sachool,2/5 of the students were absent and 3/5 of those present went on a field trip.if the number of students staying at school was 520.how many students are enrolled at kips school

1 answer

Let's start by finding out what fraction of the total number of students went on the field trip.

If 2/5 of the students were absent, then 3/5 of them were present. This gives us:

3/5 * (total number of students) = (number of students who were present)

Now, if 3/5 of those present went on a field trip, we can find the number of students who stayed at school:

(2/5)*(total number of students) = (number of students who were absent)

(number of students who were present) - (number of students who went on the field trip) = (number of students who stayed at school)

Plugging in the given information, we get:

3/5 * (total number of students) - 3/5 * 3/5 * (total number of students) = 520

Multiplying both sides by the reciprocal of 3/5:

(5/3) * (3/5) * (total number of students) - (5/3) * (9/25) * (total number of students) = 520

Simplifying:

(total number of students) - (9/25)*(total number of students) = 520 * (3/5)

(16/25) * (total number of students) = 312

Solving for (total number of students):

(total number of students) = 312 * (25/16)

(total number of students) = 487.5 (rounded to the nearest whole number)

Therefore, there are approximately 488 students enrolled at Kips School.