SOLUTION: a chemist needs 120 milliliters of a 30% solution but only has only 14% and 38% solutions available. Find how many milliliters of each that should be mixed to get the desired solut

Question 944272: a chemist needs 120 milliliters of a 30% solution but only has only 14% and 38% solutions available. Find how many milliliters of each that should be mixed to get the desired solution.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = ml of 14% solution needed
Let = ml of 38% solution needed
-------------------------------------
(1)
(2)
-------------------------------
(2)
(2)
(2)
Multiply both sides of (1) by
and subtract (1) from (2)
(2)
(1)
---------------------------

and, since
(1)
(1)
40 ml of 14% solution is needed
80 ml of 38% solution is needed
check:
(2)
(2)
(2)
(2)
OK
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