One day at ABC high school, 1/12 of the students were absent,and 1/5 of those present went on field trip.if the number of the students staying in school that day was 704,h0w many students are enrolled at ABC high?
let x = total students
then (1/12)x = those absent
and (11/12)x = those in school
But (1/5) of the (11/12)x went on field trip = (11/60)x.
So x - (11/60)x - (1/12)x = 704
Solve for x.
Let's break down the problem step by step:
Step 1: Find the number of students absent.
Since 1/12 of the students were absent, we can calculate it by multiplying the total number of students present by 1/12.
Number of absent students = 704 * (1/12)
Step 2: Find the number of students present.
The remaining students who were present at school that day can be calculated by subtracting the number of absent students from the total number of students.
Number of present students = Total number of students - Number of absent students
Step 3: Find the number of students who went on a field trip.
Since 1/5 of the present students went on a field trip, we can calculate it by multiplying the number of present students by 1/5.
Number of students on field trip = Number of present students * (1/5)
Step 4: Find the number of students staying in school.
The number of students staying in school can be calculated by subtracting the number of students on a field trip from the number of present students.
Number of students staying in school = Number of present students - Number of students on field trip
Step 5: Find the total number of students enrolled at ABC High School.
The total number of students enrolled at ABC High School can be calculated by adding the number of students present and the number of students absent.
Total number of students enrolled = Number of present students + Number of absent students
Now, let's calculate each step:
Step 1: Number of absent students = 704 * (1/12) = 58.67 (rounded to the nearest whole number) ≈ 59 students.
Step 2: Number of present students = Total number of students - Number of absent students = 704 - 59 = 645 students.
Step 3: Number of students on the field trip = Number of present students * (1/5) = 645 * (1/5) = 129 students.
Step 4: Number of students staying in school = Number of present students - Number of students on field trip = 645 - 129 = 516 students.
Step 5: Total number of students enrolled = Number of present students + Number of absent students = 645 + 59 = 704 students.
Therefore, there are 704 students enrolled at ABC High School.
To find the number of students enrolled at ABC High School, we'll first determine the number of students who were present at school that day.
Given that 1/12 of the students were absent, this means that 11/12 of the students were present. So, if the number of students staying in school that day was 704, we can set up the equation:
(11/12) * Total Number of Students = 704
To solve for the total number of students, we'll multiply both sides of the equation by (12/11) to cancel out the fraction:
Total Number of Students = (704 * 12) / 11
Now, let's calculate the total number of students enrolled at ABC High School:
Total Number of Students = (704 * 12) / 11
Total Number of Students = 768
Therefore, there are 768 students enrolled at ABC High School.