SOLUTION: a lab technician needs to mix a 45% phosphorus solution with an 18% phosphorus solution to obtain 12 milliliters of a 36% phosphorus solution. how many milliliters of the 18% phosp

Question 954363: a lab technician needs to mix a 45% phosphorus solution with an 18% phosphorus solution to obtain 12 milliliters of a 36% phosphorus solution. how many milliliters of the 18% phosphorus solution will the lab technician need?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = ml of 45% solution needed
= ml of phosphorus in 45% solution
Let = ml of 18% solution needed
= ml of phosphorus in 18% solution
------------------------------------
(1)
(2)
------------------------------
(2)
(2)
(2)
Divide both sides by
(2)
Multiply both sides of (1) by and
subtract (1) from (2)
(2)
(1)
-----------------------

and
(1)
(1)
------------------
4 ml of the 18% solution are needed
check:
(2)
(2)
(2)
(2)
(2)
OK

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