SOLUTION: the pollution count for big city in a particular day is 575. Assume this pollution is assumed by industry A B and C. Industry C contributes twice as much to pollution count as indu

Algebra ->  Finance -> SOLUTION: the pollution count for big city in a particular day is 575. Assume this pollution is assumed by industry A B and C. Industry C contributes twice as much to pollution count as indu      Log On


   

Question 1054535: the pollution count for big city in a particular day is 575. Assume this pollution is assumed by industry A B and C. Industry C contributes twice as much to pollution count as industry B. It is known that the pollution count would be 450 if the pollution from industry C reduced by 50%. Find pollution count
Answer by Fombitz(32388) About Me  (Show Source):
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1.A%2BB%2BC=575
2.C=2B
3.A%2BB%2BC%2F2=450
Substitute 2 into 1 and 3.
A%2BB%2B2B=575
4.A%2B3B=575
and
A%2BB%2B%282B%29%2F2=450
5.A%2B2B=450
Subtract 5 from 4,
A%2B3B-A-2B=575-450
B=125
So then,
C=2%28125%29
C=250
and
A%2B125%2B250=575
A=200