There are 1200 students at a University taking Precalculus. Find the number of freshmen in this course if there are three-fifths as many freshmen as there are of other students.
2007-03-28 05:10:27 · 3 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
Let x be the number of freshmen, and y the number of others
x = 3y/5 ===> y=5x/3
x+y=1,200 // y=5x/3
x + 5x/3 = 1,200 // multiply by 3
3x + 5x = 3,600
8x = 3,600
x = 450.
2007-03-28 05:17:58 · answer #1 · answered by Amit Y 5 · 1⤊ 0⤋
Let x represent "other students"
let f represent "freshmen"
f + x = 1200
f = 3/5x
3/5x + x = 1200
3/5x + 5/5x = 1200
8/5x = 1200
x = 750
f = 3/5*750 = 450
There are 450 freshmen, and 750 other students.
2007-03-28 05:19:37 · answer #2 · answered by Joe the Engineer 3 · 0⤊ 0⤋
there are 450 freshmen.
x+3/5x=1200 => 8/5x=1200
x=750; 3/5x=450.
2007-03-28 05:19:26 · answer #3 · answered by gallo 3 · 0⤊ 0⤋