SOLUTION: Mr. Greycloud works in a lab at a pharmaceutical company. He needs to make 24 liters of a 39% acid solution to test a new product. His supplier only ships a 44% and a 32% solution.
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Question 1101213: Mr. Greycloud works in a lab at a pharmaceutical company. He needs to make 24 liters of a 39% acid solution to test a new product. His supplier only ships a 44% and a 32% solution. Mr. Greycloud decides to make the 39% solution by mixing the 44% solution with the 32% solution. How much of the 44% solution will Mr. Greycloud need to use?
A. 11 L
B. 24 L
C. 10 L
D. 14 L Answer by richwmiller(17219) (Show Source):
You can put this solution on YOUR website! x+y=24,
0.44*x+0.32*y=0.39*24
0.44*x+0.32*y=9.36
x=24-y
0.44*(24-y)+0.32*y=9.36
10.56-0.44y+0.32*y=9.36
-0.12*y=-1.2
We now know amount of solution at 32%
y=10.0 liters at 32%
x=24-y
We now know amount of solution at 44%
x=14.0 liters at 44%
check
0.44*14.0+0.32*10.0=0.39*24
6.16+3.2=9.36
9.36=9.36
ok
