SOLUTION: Two quarts of Solution A is added with 5 quarts of solution b. How many quarts of solution a must be added to solution b to make the mixture 3/4 solution a? I know the answer, bu

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: Two quarts of Solution A is added with 5 quarts of solution b. How many quarts of solution a must be added to solution b to make the mixture 3/4 solution a? I know the answer, bu      Log On


   



Question 976004: Two quarts of Solution A is added with 5 quarts of solution b. How many quarts of solution a must be added to solution b to make the mixture 3/4 solution a? I know the answer, but do not know how to solve it
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = quarts of solution a to be added
+2+%2B+a+ must be +3%2F4+ of the total solution
+%28+2+%2B+a+%29+%2F+%28+2+%2B+a+%2B+5+%29+=+3%2F4+
+4%2A%28+2+%2B+a+%29+=+3%2A%28+2+%2B+a+%2B+5+%29+
+8+%2B+4a+=+21+%2B+3a+
+a+=+21+-+8+
+a+=+13+
You must add 13 quarts of solution a
-----------------
check:
I can say:
+5+%2F+%28+2+%2B+a+%2B+5+%29+=+1%2F4+
+5+%2F+%28+2+%2B+13+%2B+5+%29+=+1%2F4+
+5+%2F+20+=+1%2F4+
+1%2F4+=+1%2F4+
OK