The coast per day to remove p% of salt from seawater at adsealination plant is c(p)=994p/100-p

Question

determine what % of salt can be removed for $8000 per day ? 

Pre

Answer 1

Substitute c = 8,000 and solve for p:

 

c = 994 p / (100 - p )

 

8,000 = 994 p / (100 - p )

 

8,000 x (100 - p) = 994 p / (100 - p ) x (100 - p)

 

800,000 - 8,000p = 994p

 

800,000 - 8,000p + 8,000p = 994p + 8,000p 

 

800,000 = 8,994p

 

800,000 / 8,994 = 8,994p / 8,994

 

p = 88.9

 

The answer is 88.9%.