Problema Solution

how many liters of a 90% acid solution must be mixed with a 15% acid solution to get 225 L of a 80% acid solution?

Answer provided by our tutors

x = liters of 90% solution

y = liters of 15% solution

 

x + y = 225

 

(.90x + .15y)/225 = .80

 

y = 225 - x

 

(.90x + .15(225 - x))/225 = .80

(.90x + 33.75 - .15x)/225 = .80

(.75x + 33.75) = 180

.75x = 146.25

 

x = 195

 

(195) + y = 225

 

y = 30

 

195L of 90% solution and 30L of 15% solution are needed.