SOLUTION: how much of a 24% lemon juice solution should be added to a 80 mL of a 2% lemon juice solution to get a 4% lemon juice solution

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Question 851396: how much of a 24% lemon juice solution should be added to a 80 mL of a 2% lemon juice solution to get a 4% lemon juice solution
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = ml of 24% lemon juice solution needed
+.24x+ = ml of lemon juice in 24% solution
+.02%2A80+=+1.6+ ml of lemon juice in 2% solution
----------------
+%28+.24x+%2B+1.6+%29+%2F+%28+x+%2B+80+%29+=+.04+
+.24x+%2B+1.6+=+.04%2A%28+x+%2B+80+%29+
+.24x+%2B+1.6+=+.04x+%2B+3.2+
+.2x+=+1.6+
+x+=+8+
8 ml of 24% lemon juice solution are needed
check:
+%28+.24x+%2B+1.6+%29+%2F+%28+x+%2B+80+%29+=+.04+
+%28+.24%2A8+%2B+1.6+%29+%2F+%28+8+%2B+80+%29+=+.04+
+%28+1.92+%2B+1.6+%29+%2F+88+=+.04+
+3.52+%2F+88+=+.04+
+3.52+=+.04%2A88+
+3.52+=+3.52+
OK