.
Liquid A has 10 grams of element X per liter. Liquid B has 15 milligrams of element Y per cm3 
(there are 1000 milligrams in a gram and 1000 cm3 in a liter). 
It is desired to make 150 grams of molecule Z. To make 18 grams of Z requires 2 grams of X and 16 grams of Y. 
How many liters of each liquid should be used?
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Liquid A has 10 grams of element X per liter.
Liquid B has 15 milligrams of element Y per cm3, or, which is the same,
             15 gram of element Y per liter.
To make 18 grams of Z requires 2 grams of X and 16 grams of Y, or, which is the same, 
                               0.2 liters of A and 
 liters of B.   (*)
 = 
 
.
Therefore, the amounts (*) must be multiplied by 
 
 = 
 each.
So, you need 
 liters of A and 
 liters of B.
Again: 
 = 
 = 
 liters of A,  and
       
 = 
 liters of B.
Solved.