Please show work* . i don't get how to do this at all
only 1/3 of the university students wanted to become teachers . if 2600 didn't want to become teachers, how many university students are there?
0.6667x = 2,600
where did u get .6667 from
3/3 - 1/3 = 2/3 = 0.6667
Please use the same name for your posts.
To find the total number of university students, we can use the given information that only 1/3 of the students wanted to become teachers.
Let's say the total number of university students is represented by "x".
We know that 1/3 of the students wanted to become teachers. So the number of students wanting to become teachers is (1/3) * x.
The problem also states that 2600 students did not want to become teachers. So, we subtract this number from the total number of students wanting to become teachers:
(1/3) * x - 2600 = Number of students wanting to become teachers
Since the above expression represents the number of students wanting to become teachers, we can set it equal to the actual number of students who wanted to become teachers, which is 1/3 of the total number of students:
(1/3) * x - 2600 = (1/3) * x
Now, we can manipulate this equation to find the value of "x".
First, we can remove the denominators by multiplying both sides of the equation by 3:
3 * ((1/3) * x - 2600) = 3 * ((1/3) * x)
This simplifies to:
x - 7800 = x / 3
Next, we can eliminate the fraction by multiplying both sides of the equation by 3:
3 * (x - 7800) = x
Distributing the 3 on the left side:
3x - 23400 = x
Now, we can isolate the variable "x" by subtracting 3x from both sides:
3x - 3x - 23400 = x - 3x
Simplifying:
-23400 = -2x
Finally, we isolate "x" by dividing both sides of the equation by -2:
-23400 / -2 = -2x / -2
The negatives cancel out, giving us:
11700 = x
Therefore, there are 11,700 university students in total.