SOLUTION: Linear System What vloumes of 60% hydrochloric acid solution and 30% hydrochloric must be mixed to make 125 mL of 36% hydrocloric acid solution?

Question 177765: Linear System
What vloumes of 60% hydrochloric acid solution and 30% hydrochloric must be mixed to make 125 mL of 36% hydrocloric acid solution?
Answer by Mathtut(3670) (Show Source): You can put this solution on YOUR website!
lets call the amount of 60% and 30% solutions a and b respectively
:
a+b=125.....eq 1
.6a+.3b=.36(125)..eq 2
:
lets rewrite eq 1 to a=125-b and plug that value into eq 2
:
.6(125-b)+.3b=.36(125)
:
75-.6b+.3b=45
:
-.3b=-30
:
ml of 30% solution
:
ml of 60% solution
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