Mixture problem

Question

A 30% A solution is to be combined with a 50% B solution. How much B solution should be mixed with A solution to have a 45L of 40% C solution? wirh solution would be great.

Answer 1

Let x be the amount of solution A

and y be the amount of solution B.

 

Then x+y=45L  total amount , which means y=45-x

 

The amount of chemical in solution A is .3x, since it is a 30% solution of x liters.

Similarly, the amount of chemical in solution B is .5y, since it is a 50% solution of y liters

and the amount of chemical in the final mixture is .4(45), since it is a 40% solution of 45 liters. 

 

The amount of chemical in the final mixture is the sum of the amount of chemical in the mixtures of A and B. 

 

.3x+.5y=.4(45) 

 

Substituting 45-x for y ain the equation above and solving it for x will give you the answer.