A chemist has two solutions of hcl .One has a 40% concentration and the other a 25% concentration.How many litters must be mixed to obtain 136 liters of a 26% solution?

Question

A chemist has two solutions  of hcl .One has a 40% concentration and the other a 25% concentration.How many litters must be mixed to obtain 136 liters of  a 26% solution?

anonymous · Answer

can you do 2 equations and 2 unknowns?

anonymous · Answer

yes

anonymous · Answer

ok.  A and B are the amounts of the two solutions.  A and B together form 136 liters of solution (eq #2).  The first equation shows mixing an unknown amount A of 40% solution with an unknown amount B of 25% solution to get a known amount (136 liters) of 26% solution.  Solve for A and B.

Eq 1:  0.40A + 0.25B = 0.26(136)

Eq 2:  A + B = 136