SOLUTION: A scientist has two solutions, which she has labeled Solution A and Solution B. Each contains salt. She knows that Solution A is
40%
salt and Solution B is
65%
salt. She wan
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-> SOLUTION: A scientist has two solutions, which she has labeled Solution A and Solution B. Each contains salt. She knows that Solution A is
40%
salt and Solution B is
65%
salt. She wan
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Question 911579: A scientist has two solutions, which she has labeled Solution A and Solution B. Each contains salt. She knows that Solution A is
40%
salt and Solution B is
65%
salt. She wants to obtain
100
ounces of a mixture that is
50%
salt. How many ounces of each solution should she use? Answer by josmiceli(19441) (Show Source):
You can put this solution on YOUR website! Let = ounces of A needed
Let = ounces of B needed
--------------- = ounces of salt in A = ounces of salt in B
---------------------------
(1)
(2)
-----------------------------
(2)
Multiply both sides by
(2)
Multiply both sides of (1) by
and subtract (1) from (2)
--------------------------------
(2)
(1)
--------------------------
and, since
(1)
(1)
------------------
60 ounces of A is needed
40 ounces of B is needed
-------------------------
check:
(2)
(2)
(2)
(2)
(2)
'OK