At Phillips college 40% of the students are male. If there are 1200 male students, then how many total students are there?
.4x = 1200
x = 1200/.4
The answer is: 3000 total students.
__________________________________
Short method:
As "Steve" showed above:
___________________________
(0.4)x = 1200 ;
�¨ Divide each side by "(0.4)" �¨
�¨ (0.4)x/(0.4) = 1200/(0.4) ;
�¨ x = 3000
__________________________________
Long explanation:
___________________________
1200 students are male.
The rest are female.
The 1200 males students comprise 40% of the student population.
______________________________
100% - 40% = 60%. So the remaining 60% of the students are female.
Female students = 60% = 40% + 20%.
Given: 40% of the students are male = 1200.
____________________________
The remaining: female students = 60% of the TOTAL STUDENTS.
60% = 40% + 20%
Since 40% = 1200;
then 20% = 1200/2 = 600;
So the number of females students =
1200 + 600 = 1800
_____________________
Now add 1800 female students to the number of 1200 male students, to get:
3000 students.
________________________
{Just a brief check- we are given:
"40% of the students are male, and there are 1200 males students."
Does 40% of 3000 (the number of students) equal 1200?
Let's check:
___________
40% of 3000 =? 1200 ?
40% * 3000 =? 1200 ?
(40/100)*3000 =? 1200 ?
0.4 * 3000 =? 1200 ? YES!
______________________________
To find the total number of students, we need to first determine the percentage of male students at Phillips college.
Given that 40% of the students are male, and we are told that there are 1200 male students, we can set up the following equation:
40% of the total number of students = 1200
To solve this equation, we'll convert the percentage to a decimal by dividing it by 100:
0.40 * total number of students = 1200
Next, we need to isolate the total number of students by dividing both sides of the equation by 0.40:
total number of students = 1200 / 0.40
Calculating this value, we get:
total number of students = 3000
Therefore, the total number of students at Phillips college is 3000.