GMAT Prep - Population
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From (1)
(x-0.75)(n+100) = nx
From (2)
(x+1.5)(n-100) = nx
When you multiply one out you get
1. nx + 100x - .75n + 100(.75) = nx
Subtract nx from both sides
3. 100x - .75n + 100(.75) = 0
Similarly for 2.
4. -100x + 1.5n - 100(1.5) = 0
Add resulting equations 3 & 4.
You get 0.75n + 100(.75 -1.5) = 0
.75n = .75 (100)
n = 100
Math Minor
Comp Sci Major
(x-0.75)(n+100) = nx
From (2)
(x+1.5)(n-100) = nx
When you multiply one out you get
1. nx + 100x - .75n + 100(.75) = nx
Subtract nx from both sides
3. 100x - .75n + 100(.75) = 0
Similarly for 2.
4. -100x + 1.5n - 100(1.5) = 0
Add resulting equations 3 & 4.
You get 0.75n + 100(.75 -1.5) = 0
.75n = .75 (100)
n = 100
Math Minor
Comp Sci Major