SOLUTION: technician needs to make a 48 liter batch of 40% acid solution. How can the technician combine a batch of an acid solution that is pure acid with another that is 20% to get the des
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Question 1072861: technician needs to make a 48 liter batch of 40% acid solution. How can the technician combine a batch of an acid solution that is pure acid with another that is 20% to get the desired concentration? Found 3 solutions by josgarithmetic, MathTherapy, ikleyn:Answer by josgarithmetic(39618) (Show Source):
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technician needs to make a 48 liter batch of 40% acid solution. How can the technician combine a batch of an acid solution that is pure acid with another that is 20% to get the desired concentration?
=
x, volume of the 20% aid solution;
48-x, volume of the pure acid.
---> 0.2x + 48 - x = 0.4*48,
-0.8x + 48 = 19.2,
-0.8x = 19.2 - 48,
-0.8x = -28.8,
x = = 36.
Answer. 36 L of the 20% solution must be mixed with 12 L of pure axid.
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