SOLUTION: During Chemistry class, Tamika plans to mix a bottle containing 50ml of 10% HCL solution with a bottle containing 25% HCL solution. If she wants a 20% solution. How much 25% HCL mu

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Question 519698: During Chemistry class, Tamika plans to mix a bottle containing 50ml of 10% HCL solution with a bottle containing 25% HCL solution. If she wants a 20% solution. How much 25% HCL must be added?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
let +x+ = ml of 25% HCL solution to be added
In words:
( final ml of HCL ) / ( final ml of total solution ) = 20%
given:
+.1%2A50+=+5+ ml of HCL in 10% solution
+.25x+ ml of HCL in 25% solution
-----------------------------
+%28+5+%2B+.25x+%29+%2F+%28+50+%2B+x+%29+=+.2+
+5+%2B+.25x+=+.2%2A%28+50+%2B+x+%29+
+5+%2B+.25x+=+10+%2B+.2x+
+.05x+=+5+
+x+=+100+
100 ml of 25% HCL solution are needed
check:
+%28+5+%2B+.25x+%29+%2F+%28+50+%2B+x+%29+=+.2+
+%28+5+%2B+.25%2A100+%29+%2F+%28+50+%2B+100+%29+=+.2+
+30+%2F+150+=+.2+
+30+=+.2%2A150+
+30+=+30+
OK