SOLUTION: A chemist has two solutions of H2SO4 one has 40% concentrate and the other has a 25% concentrate. Eash solution mustbe mixed to obtain 60 liters of a 30% solution?

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Question 206285: A chemist has two solutions of H2SO4 one has 40% concentrate and the other has a 25% concentrate. Eash solution mustbe mixed to obtain 60 liters of a 30% solution?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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A chemist has two solutions of H2SO4 one has 40% concentrate and the other has a 25% concentrate.
Each solution must be mixed to obtain 60 liters of a 30% solution?
:
Let x = amt of 40% solution
then
(60-x) = amt of 25% solution
:
A simple mixture equation:
.40x + .25(60-x) = .30(60)
:
.40x + 15 - .25x = 18
:
.40x - .25x = 18 - 15
:
.15x = 3
x = 3%2F.15
x = 20 liters of 40% solution
and
60 - 20 = 40 liters of 25% solution
;
:
Check:
.4(20) + .25(40) = .3(60)
8 + 10 = 18