SOLUTION: Hi. I have a word problem that I just can't wrap my head around. Could you please help me?
"Professor Baird wants to mix a solution containing 10% acid with one containing 15%
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"Professor Baird wants to mix a solution containing 10% acid with one containing 15%
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Question 588182: Hi. I have a word problem that I just can't wrap my head around. Could you please help me?
"Professor Baird wants to mix a solution containing 10% acid with one containing 15% acid to obtain a 20-ounce solution containing 12% acid. How many ounces of the 10% solution should the professor use?"
Thanks for the help.
Joey Answer by josmiceli(19441) (Show Source):
You can put this solution on YOUR website! Let = ounces of 10% solution needed
Let = ounces of 15% solution needed = ounces of acid in 10% solution = ounces of acid in 15% solution
---------------------------------
(1)
(2)
-------------------------
(2)
(2)
(2)
--------------------
Multiply both sides of (1) by
and subtract (1) from (2)
(2)
(1)
and, since
12 ounces of 10% solution is needed
8 ounces of 15% solution is needed
check:
(2)
(2)
(2)
(2)
(2)
OK