SOLUTION: Anna-Maria has added 4 quarts of an alcohol in water solution to 1 quart of water and her ending product is a 36% alcohol in water solution. What was the concentration of the 4 qua

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Question 1098457: Anna-Maria has added 4 quarts of an alcohol in water solution to 1 quart of water and her ending product is a 36% alcohol in water solution. What was the concentration of the 4 quarts of alcohol solution that was added?
Found 3 solutions by jorel1380, josmiceli, amalm06:
Answer by jorel1380(3719) About Me  (Show Source):
You can put this solution on YOUR website!
Let n be the percentage of alcohol in the water solution. Then:
4n=(4+1)(.36)
4n=1.8
n=.45
The original water solution was an 0.45 alcohol concentration
☺☺☺☺

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = the quarts of pure alcohol
in the 4 quarts she added
+4+-+x+ = the amount of water
in the 4 quarts she added
-------------------------------------
I can say:
+x+%2F+%28+4+%2B+1+%29+=+.36+
+x+=+.36%2A5+
+x+=+1.8+
-----------------------
+x%2F4+=+1.8%2F4+
+1.8%2F4+=+.45+
The concentration of the 4 quarts added is 45%

Answer by amalm06(224) About Me  (Show Source):
You can put this solution on YOUR website!
(4)(x/100)+0=(5)(0.36)
4x/100=1.8
4x=180
x=45
x/100=45% (Answer)