SOLUTION: how many points of a 10% lemon juice marinade must be mixed with 20 points of a 60% lemon juice marinade to get a 40% lemon juice marinade?

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Question 954365: how many points of a 10% lemon juice marinade must be mixed with 20 points of a 60% lemon juice marinade to get a 40% lemon juice marinade?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
You probably mean "pints", not "points"
Let +x+ = pints of 10% LJM needed
+.1x+ = pints of LJ in 10% LJM
+.6%2A20+=+12+ pints of LJ in 60% LJM
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+%28+.1x+%2B+12+%29+%2F+%28+x+%2B+20+%29+=+.4+
+.1x+%2B+12+=+.4%2A%28+x+%2B+20+%29+
+.1x+%2B+12+=+.4x+%2B+8+
+.3x+=+4+
+x+=+13.333+
13 and 1/3 pints of 10% LJM must be added
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check:
+%28+.1x+%2B+12+%29+%2F+%28+x+%2B+20+%29+=+.4+
+%28+.1%2A13.333+%2B+12+%29+%2F+%28+13.333+%2B+20+%29+=+.4+
+%28+1.333+%2B+12+%29+%2F+33.333+=+.4+
+13.333+%2F+33.333+=+.4+
+.4+=+.4+
Hope I got it