enrollment at a college has 8500 students enrolled, there aer 1/3students over 25 as there are under 25. how mant are over 25 how many are under 25
Let x = over 25, then 3x = under 25
x + 3x = 8500
Solve for x, then 3x.
To find the number of students over 25 and under 25, we can use the information given in the question.
Let's assume the number of students under 25 is x. According to the question, the number of students over 25 is 1/3 of the number of students under 25.
So, the equation representing the information given is:
x + (1/3)x = 8500
To solve this equation and find the value of x (number of students under 25), we can combine like terms:
(4/3)x = 8500
Now, we can isolate x by multiplying both sides of the equation by the reciprocal of 4/3, which is 3/4:
(3/4)(4/3)x = (3/4)(8500)
x = 6375
Therefore, there are 6375 students under 25 years old.
To find the number of students over 25, we can use the equation x + (1/3)x = 8500:
6375 + (1/3)(6375) = 8500
Calculating this:
6375 + (2125/3) = 8500
(2125/3) = 8500 - 6375
Simplifying further:
(2125/3) = 2125
Therefore, the number of students over 25 is 2125.
In summary, there are 6375 students under 25 and 2125 students over 25.