The ratio of graduate students to undergraduate studaent at a certain university is 4 to9. if there are 2340 students at the university how many undgergraduates are there?
It's a ratio, so ...
http://www.aaastudy.com/rat.htm#topic7
4/9 = x/2340
Sorry, but that equation is not correct
let the number of graduate students be 4x, let the number of undergrads be 9x
so 4x+9x = 2340
13x = 2340
x = 180
so number of undergraduates = 9x = 1620
(graduate students = 4x = 720)
notice 720:1620 = 4:9
Thanks, Reiny.
To solve this problem, we can set up a proportion based on the given ratio:
Ratio of graduate students to undergraduate students = 4:9
Let x be the number of undergraduate students. Since there are 2340 students in total,
Graduate students + Undergraduate students = Total number of students
4x + 9x = 2340
Now we can combine like terms:
13x = 2340
To find the value of x, we divide both sides of the equation by 13:
x = 2340 / 13
Using a calculator, we can simplify this:
x ≈ 180
So, there are approximately 180 undergraduate students at the university.