SOLUTION: SOLVE THE WORD PROBLEM. NEED TO USE 2 LET STATEMENTS. A chemist has 6% and 15% solutions of sulfuric acid. How much of each solution should she mix to get 10 liters of a 9% sol

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Question 969446: SOLVE THE WORD PROBLEM. NEED TO USE 2 LET STATEMENTS.
A chemist has 6% and 15% solutions of sulfuric acid. How much of each solution should she mix to get 10 liters of a 9% solution?
Found 2 solutions by josgarithmetic, Alan3354:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
This can be done using a single variable.

Let v be the volume of the 6% acid, and then 10-v is the volume of the 15% acid.

%286v%2B15%2810-v%29%29%2F10=9

Solve for v, and then compute 10-v.

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Same problem, different numbers.
===========================================
Pure acid is to be added to a 20 percent acid solution to obtain 48 L of a 40 percent acid solution. What amounts of each should be used?
=================
T = amount of 20%
P = amount of pure (100%)
---
T + P = 48 (total liquid)
20T + 100P = 48*40 (total acid)
------
20T + 100P = 1920
T + 5P = 96
T + P = 48
---------------------- Subtract
4P = 48
etc