SOLUTION: Mr. Rosoff works in the lab at a pharmaceutical company. He needs to make 44 liters of a 32% acid solution to test a new product. His supplier only ships a 48% and a 26% solution.
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Question 1156867: Mr. Rosoff works in the lab at a pharmaceutical company. He needs to make 44 liters of a 32% acid solution to test a new product. His supplier only ships a 48% and a 26% solution. Mr. Rosoff decides to make the 32% solution by mixing the 48% solution with the 26% solution. How much of the 48% solution will Mr. Rosoff need to use?
[A] 12 L [B] 44 L [C] 21 L [D] 32 L Answer by josgarithmetic(39618) (Show Source):
This example, he is supplied with 48% and 26% solutions; and he wants to make 44 liters of 32% solution.
Final concentration needs to be 32%, or 0.32 in decimal fraction.
If variable v is for the amount of 48% solution to use, then 44-v is the amount of the 26% solution to use.
To account for the PURE amount of substance in the solutions:
Now solve for v.
-----------liters of the 48%
- -------------liters of the 26%